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Finding the Fourth Proportional to 131.44, 180.97 and 111.73

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Solution

The fourth proportional to 131.44, 180.97 and 111.73 is: 153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.44 : 180.97 = 111.73 : x
  2. Step 2: Convert to fraction form
    131.44/180.97 = 111.73/x
  3. Step 3: Cross multiply
    131.44x = 180.97 × 111.73
  4. Step 4: Simplify right side
    131.44x = 20,218.59
  5. Step 5: Solve for x
    x = 20,218.59/131.44
  6. Step 6: Final answer
    x = 153.83

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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.