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Finding the Fourth Proportional to 158.96, 238.17 and 76.61

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Solution

The fourth proportional to 158.96, 238.17 and 76.61 is: 114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.96 : 238.17 = 76.61 : x
  2. Step 2: Convert to fraction form
    158.96/238.17 = 76.61/x
  3. Step 3: Cross multiply
    158.96x = 238.17 × 76.61
  4. Step 4: Simplify right side
    158.96x = 18,246.20
  5. Step 5: Solve for x
    x = 18,246.20/158.96
  6. Step 6: Final answer
    x = 114.78

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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.