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Finding the Fourth Proportional to 80.77, 121.17 and 22.99

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Solution

The fourth proportional to 80.77, 121.17 and 22.99 is: 34.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.77 : 121.17 = 22.99 : x
  2. Step 2: Convert to fraction form
    80.77/121.17 = 22.99/x
  3. Step 3: Cross multiply
    80.77x = 121.17 × 22.99
  4. Step 4: Simplify right side
    80.77x = 2,785.70
  5. Step 5: Solve for x
    x = 2,785.70/80.77
  6. Step 6: Final answer
    x = 34.49

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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.