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Finding the Fourth Proportional to 76.68, 115.20 and 40.59

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Solution

The fourth proportional to 76.68, 115.20 and 40.59 is: 60.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.68 : 115.20 = 40.59 : x
  2. Step 2: Convert to fraction form
    76.68/115.20 = 40.59/x
  3. Step 3: Cross multiply
    76.68x = 115.20 × 40.59
  4. Step 4: Simplify right side
    76.68x = 4,675.97
  5. Step 5: Solve for x
    x = 4,675.97/76.68
  6. Step 6: Final answer
    x = 60.98

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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.