Question

Find the value of x.

$\frac{x+3}{2}=\frac{4}{3}$

Short answer

The value of x is$-\frac{1}{3}$ .

Step-by-step solution

Step 1. Given information.

The ratio here given is,

$\frac{x+3}{2}=\frac{4}{3}$

Step 2. Concept and Formula Used.

The properties of proportion,

if$\frac{a}{b}=\frac{c}{d}$ then$ad=bc$,

The given ratio is$\frac{x+3}{2}=\frac{4}{3}$,

Step 3. Use the property of proportion, if ab=cd then,ad=bc .

Then,

$\begin{array}{l}3(x+3)=2\left(4\right)\\ 3x+9=8\left(\text{Usingdistributiveproperty}\right)\\ 3x=8-9\\ 3x=-1\end{array}$

Step 4. Divide both sides by 3.

$\begin{array}{l}\frac{3x}{3}=-\frac{1}{3}\\ x=-\frac{1}{3}\end{array}$

Therefore, the value of x is$-\frac{1}{3}$ .