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Finding the Fourth Proportional to 136.15, 202.97 and 133.85

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Solution

The fourth proportional to 136.15, 202.97 and 133.85 is: 199.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.15 : 202.97 = 133.85 : x
  2. Step 2: Convert to fraction form
    136.15/202.97 = 133.85/x
  3. Step 3: Cross multiply
    136.15x = 202.97 × 133.85
  4. Step 4: Simplify right side
    136.15x = 27,168.38
  5. Step 5: Solve for x
    x = 27,168.38/136.15
  6. Step 6: Final answer
    x = 199.55

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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.