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Finding the Fourth Proportional to 180.38, 269.94 and 157.64

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Solution

The fourth proportional to 180.38, 269.94 and 157.64 is: 235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.38 : 269.94 = 157.64 : x
  2. Step 2: Convert to fraction form
    180.38/269.94 = 157.64/x
  3. Step 3: Cross multiply
    180.38x = 269.94 × 157.64
  4. Step 4: Simplify right side
    180.38x = 42,553.34
  5. Step 5: Solve for x
    x = 42,553.34/180.38
  6. Step 6: Final answer
    x = 235.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.