Finding the Fourth Proportional to 283.14, 424.65 and 77.70
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Solution
The fourth proportional to 283.14, 424.65 and 77.70 is: 116.53
Step by Step Solution
- Step 1: Write the proportion equation
283.14 : 424.65 = 77.70 : x - Step 2: Convert to fraction form
283.14/424.65 = 77.70/x - Step 3: Cross multiply
283.14x = 424.65 × 77.70 - Step 4: Simplify right side
283.14x = 32,995.31 - Step 5: Solve for x
x = 32,995.31/283.14 - Step 6: Final answer
x = 116.53
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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.