Finding the Fourth Proportional to 154.80, 232.08 and 77.68
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Solution
The fourth proportional to 154.80, 232.08 and 77.68 is: 116.47
Step by Step Solution
- Step 1: Write the proportion equation
154.80 : 232.08 = 77.68 : x - Step 2: Convert to fraction form
154.80/232.08 = 77.68/x - Step 3: Cross multiply
154.80x = 232.08 × 77.68 - Step 4: Simplify right side
154.80x = 18,029.23 - Step 5: Solve for x
x = 18,029.23/154.80 - Step 6: Final answer
x = 116.47
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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.