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Finding the Fourth Proportional to 180.38, 271.92 and 165.33

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Solution

The fourth proportional to 180.38, 271.92 and 165.33 is: 249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.38 : 271.92 = 165.33 : x
  2. Step 2: Convert to fraction form
    180.38/271.92 = 165.33/x
  3. Step 3: Cross multiply
    180.38x = 271.92 × 165.33
  4. Step 4: Simplify right side
    180.38x = 44,956.53
  5. Step 5: Solve for x
    x = 44,956.53/180.38
  6. Step 6: Final answer
    x = 249.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.