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Finding the Fourth Proportional to 79.67, 118.85 and 77.85

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Solution

The fourth proportional to 79.67, 118.85 and 77.85 is: 116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.67 : 118.85 = 77.85 : x
  2. Step 2: Convert to fraction form
    79.67/118.85 = 77.85/x
  3. Step 3: Cross multiply
    79.67x = 118.85 × 77.85
  4. Step 4: Simplify right side
    79.67x = 9,252.08
  5. Step 5: Solve for x
    x = 9,252.08/79.67
  6. Step 6: Final answer
    x = 116.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.