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Finding the Fourth Proportional to 432.28, 595.36 and 402.04

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Solution

The fourth proportional to 432.28, 595.36 and 402.04 is: 553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.28 : 595.36 = 402.04 : x
  2. Step 2: Convert to fraction form
    432.28/595.36 = 402.04/x
  3. Step 3: Cross multiply
    432.28x = 595.36 × 402.04
  4. Step 4: Simplify right side
    432.28x = 239,358.53
  5. Step 5: Solve for x
    x = 239,358.53/432.28
  6. Step 6: Final answer
    x = 553.71

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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.