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Finding the Fourth Proportional to 83.09, 113.84 and 82.86

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Solution

The fourth proportional to 83.09, 113.84 and 82.86 is: 113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.09 : 113.84 = 82.86 : x
  2. Step 2: Convert to fraction form
    83.09/113.84 = 82.86/x
  3. Step 3: Cross multiply
    83.09x = 113.84 × 82.86
  4. Step 4: Simplify right side
    83.09x = 9,432.37
  5. Step 5: Solve for x
    x = 9,432.37/83.09
  6. Step 6: Final answer
    x = 113.53

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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.