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Finding the Fourth Proportional to 83.49, 114.39 and 79.38

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Solution

The fourth proportional to 83.49, 114.39 and 79.38 is: 108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.49 : 114.39 = 79.38 : x
  2. Step 2: Convert to fraction form
    83.49/114.39 = 79.38/x
  3. Step 3: Cross multiply
    83.49x = 114.39 × 79.38
  4. Step 4: Simplify right side
    83.49x = 9,080.28
  5. Step 5: Solve for x
    x = 9,080.28/83.49
  6. Step 6: Final answer
    x = 108.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.