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Finding the Fourth Proportional to 180.38, 250.07 and 171

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Solution

The fourth proportional to 180.38, 250.07 and 171 is: 237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.38 : 250.07 = 171 : x
  2. Step 2: Convert to fraction form
    180.38/250.07 = 171/x
  3. Step 3: Cross multiply
    180.38x = 250.07 × 171
  4. Step 4: Simplify right side
    180.38x = 42,761.12
  5. Step 5: Solve for x
    x = 42,761.12/180.38
  6. Step 6: Final answer
    x = 237.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.