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Finding the Fourth Proportional to 126.28, 188.66 and 80.24

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Solution

The fourth proportional to 126.28, 188.66 and 80.24 is: 119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.28 : 188.66 = 80.24 : x
  2. Step 2: Convert to fraction form
    126.28/188.66 = 80.24/x
  3. Step 3: Cross multiply
    126.28x = 188.66 × 80.24
  4. Step 4: Simplify right side
    126.28x = 15,138.08
  5. Step 5: Solve for x
    x = 15,138.08/126.28
  6. Step 6: Final answer
    x = 119.88

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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.