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Finding the Fourth Proportional to 77.97, 107.27 and 67.57

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Solution

The fourth proportional to 77.97, 107.27 and 67.57 is: 92.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.97 : 107.27 = 67.57 : x
  2. Step 2: Convert to fraction form
    77.97/107.27 = 67.57/x
  3. Step 3: Cross multiply
    77.97x = 107.27 × 67.57
  4. Step 4: Simplify right side
    77.97x = 7,248.23
  5. Step 5: Solve for x
    x = 7,248.23/77.97
  6. Step 6: Final answer
    x = 92.97

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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.