#### Answer

$x=0.225$

#### Work Step by Step

To find $x$ when $y=\frac{1}{2}$, set up a proportion using two forms of $\frac{y}{x}$
$\dfrac{\frac{5}{3}}{\frac{3}{4}}=\dfrac{\frac{1}{2}}{x}$
Now write the cross-products
$(\frac{5}{3})x=(\frac{3}{4})(\frac{1}{2})$
Simplify
$(\frac{5}{3})x=\frac{3}{8}$
Divide each side by $\frac{5}{3}$
$\frac{(\frac{5}{3})x}{\frac{5}{3}}=\dfrac{\frac{3}{8}}{\frac{5}{3}}
\\x=\frac{3}{8} \cdot \frac{3}{5}
\\x=\frac{9}{40}=0.225$