Finding the Fourth Proportional to 154.70, 232.14 and 77.66
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Solution
The fourth proportional to 154.70, 232.14 and 77.66 is: 116.54
Step by Step Solution
- Step 1: Write the proportion equation
154.70 : 232.14 = 77.66 : x - Step 2: Convert to fraction form
154.70/232.14 = 77.66/x - Step 3: Cross multiply
154.70x = 232.14 × 77.66 - Step 4: Simplify right side
154.70x = 18,027.99 - Step 5: Solve for x
x = 18,027.99/154.70 - Step 6: Final answer
x = 116.54
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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.