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Finding the Fourth Proportional to 530.38, 732.02 and 331.30

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Solution

The fourth proportional to 530.38, 732.02 and 331.30 is: 457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.38 : 732.02 = 331.30 : x
  2. Step 2: Convert to fraction form
    530.38/732.02 = 331.30/x
  3. Step 3: Cross multiply
    530.38x = 732.02 × 331.30
  4. Step 4: Simplify right side
    530.38x = 242,519.97
  5. Step 5: Solve for x
    x = 242,519.97/530.38
  6. Step 6: Final answer
    x = 457.26

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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.