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Finding the Fourth Proportional to 80.84, 121.60 and 76.73

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Solution

The fourth proportional to 80.84, 121.60 and 76.73 is: 115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.84 : 121.60 = 76.73 : x
  2. Step 2: Convert to fraction form
    80.84/121.60 = 76.73/x
  3. Step 3: Cross multiply
    80.84x = 121.60 × 76.73
  4. Step 4: Simplify right side
    80.84x = 9,330.37
  5. Step 5: Solve for x
    x = 9,330.37/80.84
  6. Step 6: Final answer
    x = 115.42

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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.