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Finding the Fourth Proportional to 80.49, 111.27 and 77.28

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Solution

The fourth proportional to 80.49, 111.27 and 77.28 is: 106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.49 : 111.27 = 77.28 : x
  2. Step 2: Convert to fraction form
    80.49/111.27 = 77.28/x
  3. Step 3: Cross multiply
    80.49x = 111.27 × 77.28
  4. Step 4: Simplify right side
    80.49x = 8,598.95
  5. Step 5: Solve for x
    x = 8,598.95/80.49
  6. Step 6: Final answer
    x = 106.83

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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.