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Finding the Fourth Proportional to 133.12, 198.89 and 105.52

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Solution

The fourth proportional to 133.12, 198.89 and 105.52 is: 157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.12 : 198.89 = 105.52 : x
  2. Step 2: Convert to fraction form
    133.12/198.89 = 105.52/x
  3. Step 3: Cross multiply
    133.12x = 198.89 × 105.52
  4. Step 4: Simplify right side
    133.12x = 20,986.87
  5. Step 5: Solve for x
    x = 20,986.87/133.12
  6. Step 6: Final answer
    x = 157.65

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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.