Four of the five members of the state Transportation Board dismissed by Governor Deval Patrick last month have been appointed to a new, larger board charged with overseeing Massachusetts highways and public transportation.

Only Elizabeth Levin, a management consultant and sometime critic of the administration, was not seated on the new board. In an interview, Levin said she found it discouraging that, despite her ­expressed interest in continuing to serve, she was not appointed. She blamed it on asking too many questions.