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Finding the Fourth Proportional to 77.59, 116.48 and 39.11

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Solution

The fourth proportional to 77.59, 116.48 and 39.11 is: 58.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.59 : 116.48 = 39.11 : x
  2. Step 2: Convert to fraction form
    77.59/116.48 = 39.11/x
  3. Step 3: Cross multiply
    77.59x = 116.48 × 39.11
  4. Step 4: Simplify right side
    77.59x = 4,555.53
  5. Step 5: Solve for x
    x = 4,555.53/77.59
  6. Step 6: Final answer
    x = 58.71

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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.