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Finding the Fourth Proportional to 80.92, 121.25 and 37.56

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Solution

The fourth proportional to 80.92, 121.25 and 37.56 is: 56.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.92 : 121.25 = 37.56 : x
  2. Step 2: Convert to fraction form
    80.92/121.25 = 37.56/x
  3. Step 3: Cross multiply
    80.92x = 121.25 × 37.56
  4. Step 4: Simplify right side
    80.92x = 4,554.15
  5. Step 5: Solve for x
    x = 4,554.15/80.92
  6. Step 6: Final answer
    x = 56.28

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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.