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Finding the Fourth Proportional to 354.62, 532.08 and 138.21

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Solution

The fourth proportional to 354.62, 532.08 and 138.21 is: 207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.62 : 532.08 = 138.21 : x
  2. Step 2: Convert to fraction form
    354.62/532.08 = 138.21/x
  3. Step 3: Cross multiply
    354.62x = 532.08 × 138.21
  4. Step 4: Simplify right side
    354.62x = 73,538.78
  5. Step 5: Solve for x
    x = 73,538.78/354.62
  6. Step 6: Final answer
    x = 207.38

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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.