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Finding the Fourth Proportional to 80.57, 120.73 and 29.19

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Solution

The fourth proportional to 80.57, 120.73 and 29.19 is: 43.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.57 : 120.73 = 29.19 : x
  2. Step 2: Convert to fraction form
    80.57/120.73 = 29.19/x
  3. Step 3: Cross multiply
    80.57x = 120.73 × 29.19
  4. Step 4: Simplify right side
    80.57x = 3,524.11
  5. Step 5: Solve for x
    x = 3,524.11/80.57
  6. Step 6: Final answer
    x = 43.74

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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.