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Finding the Fourth Proportional to 120.24, 178.92 and 116.42

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Solution

The fourth proportional to 120.24, 178.92 and 116.42 is: 173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.24 : 178.92 = 116.42 : x
  2. Step 2: Convert to fraction form
    120.24/178.92 = 116.42/x
  3. Step 3: Cross multiply
    120.24x = 178.92 × 116.42
  4. Step 4: Simplify right side
    120.24x = 20,828.97
  5. Step 5: Solve for x
    x = 20,828.97/120.24
  6. Step 6: Final answer
    x = 173.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.