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Finding the Fourth Proportional to 76.26, 115.01 and 74.82

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Solution

The fourth proportional to 76.26, 115.01 and 74.82 is: 112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.26 : 115.01 = 74.82 : x
  2. Step 2: Convert to fraction form
    76.26/115.01 = 74.82/x
  3. Step 3: Cross multiply
    76.26x = 115.01 × 74.82
  4. Step 4: Simplify right side
    76.26x = 8,604.67
  5. Step 5: Solve for x
    x = 8,604.67/76.26
  6. Step 6: Final answer
    x = 112.83

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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.