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Finding the Fourth Proportional to 126.97, 189.24 and 126.74

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Solution

The fourth proportional to 126.97, 189.24 and 126.74 is: 188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.97 : 189.24 = 126.74 : x
  2. Step 2: Convert to fraction form
    126.97/189.24 = 126.74/x
  3. Step 3: Cross multiply
    126.97x = 189.24 × 126.74
  4. Step 4: Simplify right side
    126.97x = 23,983.74
  5. Step 5: Solve for x
    x = 23,983.74/126.97
  6. Step 6: Final answer
    x = 188.90

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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.