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Finding the Fourth Proportional to 81.28, 112.16 and 44.44

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Solution

The fourth proportional to 81.28, 112.16 and 44.44 is: 61.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.28 : 112.16 = 44.44 : x
  2. Step 2: Convert to fraction form
    81.28/112.16 = 44.44/x
  3. Step 3: Cross multiply
    81.28x = 112.16 × 44.44
  4. Step 4: Simplify right side
    81.28x = 4,984.33
  5. Step 5: Solve for x
    x = 4,984.33/81.28
  6. Step 6: Final answer
    x = 61.33

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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.