Finding the Fourth Proportional to 207.52, 311.14 and 116.26
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Solution
The fourth proportional to 207.52, 311.14 and 116.26 is: 174.31
Step by Step Solution
- Step 1: Write the proportion equation
207.52 : 311.14 = 116.26 : x - Step 2: Convert to fraction form
207.52/311.14 = 116.26/x - Step 3: Cross multiply
207.52x = 311.14 × 116.26 - Step 4: Simplify right side
207.52x = 36,173.14 - Step 5: Solve for x
x = 36,173.14/207.52 - Step 6: Final answer
x = 174.31
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.