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Finding the Fourth Proportional to 83.10, 115.26 and 79.44

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Solution

The fourth proportional to 83.10, 115.26 and 79.44 is: 110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.10 : 115.26 = 79.44 : x
  2. Step 2: Convert to fraction form
    83.10/115.26 = 79.44/x
  3. Step 3: Cross multiply
    83.10x = 115.26 × 79.44
  4. Step 4: Simplify right side
    83.10x = 9,156.25
  5. Step 5: Solve for x
    x = 9,156.25/83.10
  6. Step 6: Final answer
    x = 110.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.