Finding the Fourth Proportional to 207.70, 311.58 and 77.70
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Solution
The fourth proportional to 207.70, 311.58 and 77.70 is: 116.56
Step by Step Solution
- Step 1: Write the proportion equation
207.70 : 311.58 = 77.70 : x - Step 2: Convert to fraction form
207.70/311.58 = 77.70/x - Step 3: Cross multiply
207.70x = 311.58 × 77.70 - Step 4: Simplify right side
207.70x = 24,209.77 - Step 5: Solve for x
x = 24,209.77/207.70 - Step 6: Final answer
x = 116.56
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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.