The Erdös-Straus conjecture states that for every positive integer n ≥ 2, there exist three natural numbers x, y and z, not necessarily distinct, so that 1/x + 1/y + 1/z = 4/n. In this paper, we consider the Diophantine equation 2/x+3/y+4/z =1/3. We find positive solutions of this Diophantine equation.