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Finding the Fourth Proportional to 119.76, 178.88 and 80.92

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Solution

The fourth proportional to 119.76, 178.88 and 80.92 is: 120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.76 : 178.88 = 80.92 : x
  2. Step 2: Convert to fraction form
    119.76/178.88 = 80.92/x
  3. Step 3: Cross multiply
    119.76x = 178.88 × 80.92
  4. Step 4: Simplify right side
    119.76x = 14,474.97
  5. Step 5: Solve for x
    x = 14,474.97/119.76
  6. Step 6: Final answer
    x = 120.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.