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Finding the Fourth Proportional to 80.30, 119.60 and 77.47

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Solution

The fourth proportional to 80.30, 119.60 and 77.47 is: 115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.30 : 119.60 = 77.47 : x
  2. Step 2: Convert to fraction form
    80.30/119.60 = 77.47/x
  3. Step 3: Cross multiply
    80.30x = 119.60 × 77.47
  4. Step 4: Simplify right side
    80.30x = 9,264.43
  5. Step 5: Solve for x
    x = 9,264.43/80.30
  6. Step 6: Final answer
    x = 115.37

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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.