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Finding the Fourth Proportional to 133.88, 199.92 and 126.86

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Solution

The fourth proportional to 133.88, 199.92 and 126.86 is: 189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.88 : 199.92 = 126.86 : x
  2. Step 2: Convert to fraction form
    133.88/199.92 = 126.86/x
  3. Step 3: Cross multiply
    133.88x = 199.92 × 126.86
  4. Step 4: Simplify right side
    133.88x = 25,361.85
  5. Step 5: Solve for x
    x = 25,361.85/133.88
  6. Step 6: Final answer
    x = 189.44

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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.