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Finding the Fourth Proportional to 80.05, 119 and 77.62

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Solution

The fourth proportional to 80.05, 119 and 77.62 is: 115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.05 : 119 = 77.62 : x
  2. Step 2: Convert to fraction form
    80.05/119 = 77.62/x
  3. Step 3: Cross multiply
    80.05x = 119 × 77.62
  4. Step 4: Simplify right side
    80.05x = 9,236.78
  5. Step 5: Solve for x
    x = 9,236.78/80.05
  6. Step 6: Final answer
    x = 115.39

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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.