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Finding the Fourth Proportional to 402.28, 603.42 and 381.76

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Solution

The fourth proportional to 402.28, 603.42 and 381.76 is: 572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.28 : 603.42 = 381.76 : x
  2. Step 2: Convert to fraction form
    402.28/603.42 = 381.76/x
  3. Step 3: Cross multiply
    402.28x = 603.42 × 381.76
  4. Step 4: Simplify right side
    402.28x = 230,361.62
  5. Step 5: Solve for x
    x = 230,361.62/402.28
  6. Step 6: Final answer
    x = 572.64

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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.