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Finding the Fourth Proportional to 76.75, 115.82 and 76.29

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Solution

The fourth proportional to 76.75, 115.82 and 76.29 is: 115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.75 : 115.82 = 76.29 : x
  2. Step 2: Convert to fraction form
    76.75/115.82 = 76.29/x
  3. Step 3: Cross multiply
    76.75x = 115.82 × 76.29
  4. Step 4: Simplify right side
    76.75x = 8,835.91
  5. Step 5: Solve for x
    x = 8,835.91/76.75
  6. Step 6: Final answer
    x = 115.13

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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.