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Finding the Fourth Proportional to 384.57, 527.11 and 370.71

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Solution

The fourth proportional to 384.57, 527.11 and 370.71 is: 508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.57 : 527.11 = 370.71 : x
  2. Step 2: Convert to fraction form
    384.57/527.11 = 370.71/x
  3. Step 3: Cross multiply
    384.57x = 527.11 × 370.71
  4. Step 4: Simplify right side
    384.57x = 195,404.95
  5. Step 5: Solve for x
    x = 195,404.95/384.57
  6. Step 6: Final answer
    x = 508.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.