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Finding the Fourth Proportional to 76.25, 115.07 and 75.78

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Solution

The fourth proportional to 76.25, 115.07 and 75.78 is: 114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.25 : 115.07 = 75.78 : x
  2. Step 2: Convert to fraction form
    76.25/115.07 = 75.78/x
  3. Step 3: Cross multiply
    76.25x = 115.07 × 75.78
  4. Step 4: Simplify right side
    76.25x = 8,720.00
  5. Step 5: Solve for x
    x = 8,720.00/76.25
  6. Step 6: Final answer
    x = 114.36

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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.