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Finding the Fourth Proportional to 530.65, 731.82 and 331.39

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Solution

The fourth proportional to 530.65, 731.82 and 331.39 is: 457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.65 : 731.82 = 331.39 : x
  2. Step 2: Convert to fraction form
    530.65/731.82 = 331.39/x
  3. Step 3: Cross multiply
    530.65x = 731.82 × 331.39
  4. Step 4: Simplify right side
    530.65x = 242,517.83
  5. Step 5: Solve for x
    x = 242,517.83/530.65
  6. Step 6: Final answer
    x = 457.02

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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.