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Finding the Fourth Proportional to 171.20, 256.28 and 158.39

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Solution

The fourth proportional to 171.20, 256.28 and 158.39 is: 237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.20 : 256.28 = 158.39 : x
  2. Step 2: Convert to fraction form
    171.20/256.28 = 158.39/x
  3. Step 3: Cross multiply
    171.20x = 256.28 × 158.39
  4. Step 4: Simplify right side
    171.20x = 40,591.97
  5. Step 5: Solve for x
    x = 40,591.97/171.20
  6. Step 6: Final answer
    x = 237.11

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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.