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Finding the Fourth Proportional to 120.38, 180.48 and 72.32

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Solution

The fourth proportional to 120.38, 180.48 and 72.32 is: 108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.38 : 180.48 = 72.32 : x
  2. Step 2: Convert to fraction form
    120.38/180.48 = 72.32/x
  3. Step 3: Cross multiply
    120.38x = 180.48 × 72.32
  4. Step 4: Simplify right side
    120.38x = 13,052.31
  5. Step 5: Solve for x
    x = 13,052.31/120.38
  6. Step 6: Final answer
    x = 108.43

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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.