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Finding the Fourth Proportional to 530.35, 731.65 and 343.85

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Solution

The fourth proportional to 530.35, 731.65 and 343.85 is: 474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.35 : 731.65 = 343.85 : x
  2. Step 2: Convert to fraction form
    530.35/731.65 = 343.85/x
  3. Step 3: Cross multiply
    530.35x = 731.65 × 343.85
  4. Step 4: Simplify right side
    530.35x = 251,572.48
  5. Step 5: Solve for x
    x = 251,572.48/530.35
  6. Step 6: Final answer
    x = 474.36

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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.