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Finding the Fourth Proportional to 76.75, 105.92 and 41.78

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Solution

The fourth proportional to 76.75, 105.92 and 41.78 is: 57.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.75 : 105.92 = 41.78 : x
  2. Step 2: Convert to fraction form
    76.75/105.92 = 41.78/x
  3. Step 3: Cross multiply
    76.75x = 105.92 × 41.78
  4. Step 4: Simplify right side
    76.75x = 4,425.55
  5. Step 5: Solve for x
    x = 4,425.55/76.75
  6. Step 6: Final answer
    x = 57.66

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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.