Finding the Fourth Proportional to 207.76, 311.82 and 135.70
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Solution
The fourth proportional to 207.76, 311.82 and 135.70 is: 203.67
Step by Step Solution
- Step 1: Write the proportion equation
207.76 : 311.82 = 135.70 : x - Step 2: Convert to fraction form
207.76/311.82 = 135.70/x - Step 3: Cross multiply
207.76x = 311.82 × 135.70 - Step 4: Simplify right side
207.76x = 42,313.97 - Step 5: Solve for x
x = 42,313.97/207.76 - Step 6: Final answer
x = 203.67
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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.