[tex]\frac{x}{2}=\frac{y}{3}=\frac{z}{5}=k =\ \textgreater \ x = 2k, \ y=3k, \ z = 5k. \\ x*y*z=240=\ \textgreater \ 2k * 3k * 5k=240=\ \textgreater \ 30k^3=240=\ \textgreater \ k^3=8=\ \textgreater \ \\ =\ \textgreater \ k=2 =\ \textgreater \ x = 2 * 2 = 4, \ y= 3*2 =6, \ z= 5*2 =10.[/tex]
