Finding the Fourth Proportional to 207.91, 286.64 and 145.65
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Solution
The fourth proportional to 207.91, 286.64 and 145.65 is: 200.80
Step by Step Solution
- Step 1: Write the proportion equation
207.91 : 286.64 = 145.65 : x - Step 2: Convert to fraction form
207.91/286.64 = 145.65/x - Step 3: Cross multiply
207.91x = 286.64 × 145.65 - Step 4: Simplify right side
207.91x = 41,749.12 - Step 5: Solve for x
x = 41,749.12/207.91 - Step 6: Final answer
x = 200.80
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.