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Finding the Fourth Proportional to 54.97, 81.97 and 52.86

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Solution

The fourth proportional to 54.97, 81.97 and 52.86 is: 78.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.97 : 81.97 = 52.86 : x
  2. Step 2: Convert to fraction form
    54.97/81.97 = 52.86/x
  3. Step 3: Cross multiply
    54.97x = 81.97 × 52.86
  4. Step 4: Simplify right side
    54.97x = 4,332.93
  5. Step 5: Solve for x
    x = 4,332.93/54.97
  6. Step 6: Final answer
    x = 78.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.