Solve 100/4.5=305/x

$$\frac { 100 } { 4.5 } = \frac { 305 } { x }$$

Solve for x

$$x=13.725$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x\times \frac{100}{4.5}=305$$

Expand \frac{100}{4.5} by multiplying both numerator and the denominator by 10.

$$x\times \frac{1000}{45}=305$$

Reduce the fraction \frac{1000}{45} to lowest terms by extracting and canceling out 5.

$$x\times \frac{200}{9}=305$$

Multiply both sides by \frac{9}{200}, the reciprocal of \frac{200}{9}.

$$x=305\times \frac{9}{200}$$

Express 305\times \frac{9}{200} as a single fraction.

$$x=\frac{305\times 9}{200}$$

Multiply 305 and 9 to get 2745.

$$x=\frac{2745}{200}$$

Reduce the fraction \frac{2745}{200} to lowest terms by extracting and canceling out 5.

$$x=\frac{549}{40}$$