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Finding the Fourth Proportional to 133.38, 199.25 and 106.35

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Solution

The fourth proportional to 133.38, 199.25 and 106.35 is: 158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.38 : 199.25 = 106.35 : x
  2. Step 2: Convert to fraction form
    133.38/199.25 = 106.35/x
  3. Step 3: Cross multiply
    133.38x = 199.25 × 106.35
  4. Step 4: Simplify right side
    133.38x = 21,190.24
  5. Step 5: Solve for x
    x = 21,190.24/133.38
  6. Step 6: Final answer
    x = 158.88

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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.