Brad Baker, 30, the manager of Kinloch Farm a well-known property in The Plains, Va., who was mortally wounded by shotgun fire New Year's Eve, was a graduate student in agricultural economics at Virginia Polytechnic Institute and State University at Blalcksburg.

Mr. Baker had been farm manager of Kinloch only 10 days when the shooting occurred. He died New Year's Day at the Washington Hospital Center, where he was taken by a U.S. Park Police helicopter. Authorities in Fauquier County were investigating the case and no arrests had been made by last night.

Mr. Baker was born in Miller Beach, Ind., and was a member of his high school track and wrestling teams. He earned a bachelor's degree in business from Indiana University and a master's in public administration from the same school. While at the university, he helped found a group to help young people become interested in the processes of government.

He moved to Washington about 1975 and worked for the National Conference on Citizenship. He also was active in a number of consumer and environmental groups. Beyond that,he wrote short stories and poetry and had completed a novel at the time of his death.

Mr. Baker's interest in the environment led him to enroll in a three-year program leading to a doctorate in economics at Virginia Tech. At that school, he was editor of "The Rag," a publication for agricultural studentss. He left VPI to take the job at Kinloch with the understanding that he could return and complete his degree requirements. A particular interest of his was organic farming.

Survivors include his parents, Margie Mirken of New York City and Palm Beach, Fla., and Sheldon Baker of Munster, Ind; a sister, Blythe Baker of New York City and Washington; a brother, Bruce Baker of Cincinnati, and two grandmothers, Ida Morrison of Palm Beach, and Celia Baker of North Miami Beach, Fla.

The family suggests that expressions of sympathy be in the form of contributions to the Fauquier County 4-H Club, 14 Main St., Warrenton, Va., 22186.