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Finding the Fourth Proportional to 158.92, 219.18 and 129.76

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Solution

The fourth proportional to 158.92, 219.18 and 129.76 is: 178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.92 : 219.18 = 129.76 : x
  2. Step 2: Convert to fraction form
    158.92/219.18 = 129.76/x
  3. Step 3: Cross multiply
    158.92x = 219.18 × 129.76
  4. Step 4: Simplify right side
    158.92x = 28,440.80
  5. Step 5: Solve for x
    x = 28,440.80/158.92
  6. Step 6: Final answer
    x = 178.96

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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.