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Finding the Fourth Proportional to 53.97, 81.28 and 44.92

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Solution

The fourth proportional to 53.97, 81.28 and 44.92 is: 67.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.97 : 81.28 = 44.92 : x
  2. Step 2: Convert to fraction form
    53.97/81.28 = 44.92/x
  3. Step 3: Cross multiply
    53.97x = 81.28 × 44.92
  4. Step 4: Simplify right side
    53.97x = 3,650.79
  5. Step 5: Solve for x
    x = 3,650.79/53.97
  6. Step 6: Final answer
    x = 67.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.