Sharin' the Drivin'

     Last summer my two older brothers and I took a long vacation trip, driving through many states of our great country, sightseeing along the way. We took turns doing the driving for the 2,268 miles. The amount of time that each of us spent at the wheel came out to be in the ratio of our respective ages. Upon completing our grand tour, we calculated that we traveled at an average speed of 36 miles per hour.

     If we brothers were born in consecutive years, what was the year of my birth?