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Finding the Fourth Proportional to 133.53, 198.95 and 125.25

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Solution

The fourth proportional to 133.53, 198.95 and 125.25 is: 186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.53 : 198.95 = 125.25 : x
  2. Step 2: Convert to fraction form
    133.53/198.95 = 125.25/x
  3. Step 3: Cross multiply
    133.53x = 198.95 × 125.25
  4. Step 4: Simplify right side
    133.53x = 24,917.86
  5. Step 5: Solve for x
    x = 24,917.86/133.53
  6. Step 6: Final answer
    x = 186.61

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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.