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Finding the Fourth Proportional to 384.39, 575.17 and 230.42

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Solution

The fourth proportional to 384.39, 575.17 and 230.42 is: 344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.39 : 575.17 = 230.42 : x
  2. Step 2: Convert to fraction form
    384.39/575.17 = 230.42/x
  3. Step 3: Cross multiply
    384.39x = 575.17 × 230.42
  4. Step 4: Simplify right side
    384.39x = 132,531.53
  5. Step 5: Solve for x
    x = 132,531.53/384.39
  6. Step 6: Final answer
    x = 344.78

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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.