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Finding the Fourth Proportional to 77.12, 115.66 and 25.75

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Solution

The fourth proportional to 77.12, 115.66 and 25.75 is: 38.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.12 : 115.66 = 25.75 : x
  2. Step 2: Convert to fraction form
    77.12/115.66 = 25.75/x
  3. Step 3: Cross multiply
    77.12x = 115.66 × 25.75
  4. Step 4: Simplify right side
    77.12x = 2,978.25
  5. Step 5: Solve for x
    x = 2,978.25/77.12
  6. Step 6: Final answer
    x = 38.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.