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Finding the Fourth Proportional to 109.57, 151.22 and 80.47

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Solution

The fourth proportional to 109.57, 151.22 and 80.47 is: 111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.57 : 151.22 = 80.47 : x
  2. Step 2: Convert to fraction form
    109.57/151.22 = 80.47/x
  3. Step 3: Cross multiply
    109.57x = 151.22 × 80.47
  4. Step 4: Simplify right side
    109.57x = 12,168.67
  5. Step 5: Solve for x
    x = 12,168.67/109.57
  6. Step 6: Final answer
    x = 111.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.