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Finding the Fourth Proportional to 133.52, 198.92 and 126.63

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Solution

The fourth proportional to 133.52, 198.92 and 126.63 is: 188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.52 : 198.92 = 126.63 : x
  2. Step 2: Convert to fraction form
    133.52/198.92 = 126.63/x
  3. Step 3: Cross multiply
    133.52x = 198.92 × 126.63
  4. Step 4: Simplify right side
    133.52x = 25,189.56
  5. Step 5: Solve for x
    x = 25,189.56/133.52
  6. Step 6: Final answer
    x = 188.66

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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.