Finding the Fourth Proportional to 391.84, 586.08 and 282.40
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Solution
The fourth proportional to 391.84, 586.08 and 282.40 is: 422.39
Step by Step Solution
- Step 1: Write the proportion equation
391.84 : 586.08 = 282.40 : x - Step 2: Convert to fraction form
391.84/586.08 = 282.40/x - Step 3: Cross multiply
391.84x = 586.08 × 282.40 - Step 4: Simplify right side
391.84x = 165,508.99 - Step 5: Solve for x
x = 165,508.99/391.84 - Step 6: Final answer
x = 422.39
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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.