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Finding the Fourth Proportional to 382.70, 527.19 and 284.28

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Solution

The fourth proportional to 382.70, 527.19 and 284.28 is: 391.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.70 : 527.19 = 284.28 : x
  2. Step 2: Convert to fraction form
    382.70/527.19 = 284.28/x
  3. Step 3: Cross multiply
    382.70x = 527.19 × 284.28
  4. Step 4: Simplify right side
    382.70x = 149,869.57
  5. Step 5: Solve for x
    x = 149,869.57/382.70
  6. Step 6: Final answer
    x = 391.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.