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Finding the Fourth Proportional to 77.20, 115.63 and 76.68

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Solution

The fourth proportional to 77.20, 115.63 and 76.68 is: 114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.20 : 115.63 = 76.68 : x
  2. Step 2: Convert to fraction form
    77.20/115.63 = 76.68/x
  3. Step 3: Cross multiply
    77.20x = 115.63 × 76.68
  4. Step 4: Simplify right side
    77.20x = 8,866.32
  5. Step 5: Solve for x
    x = 8,866.32/77.20
  6. Step 6: Final answer
    x = 114.85

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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.