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Finding the Fourth Proportional to 180.38, 249.03 and 133.79

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Solution

The fourth proportional to 180.38, 249.03 and 133.79 is: 184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.38 : 249.03 = 133.79 : x
  2. Step 2: Convert to fraction form
    180.38/249.03 = 133.79/x
  3. Step 3: Cross multiply
    180.38x = 249.03 × 133.79
  4. Step 4: Simplify right side
    180.38x = 33,317.72
  5. Step 5: Solve for x
    x = 33,317.72/180.38
  6. Step 6: Final answer
    x = 184.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.