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Finding the Fourth Proportional to 83, 115 and 82.56

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Solution

The fourth proportional to 83, 115 and 82.56 is: 114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83 : 115 = 82.56 : x
  2. Step 2: Convert to fraction form
    83/115 = 82.56/x
  3. Step 3: Cross multiply
    83x = 115 × 82.56
  4. Step 4: Simplify right side
    83x = 9,494.40
  5. Step 5: Solve for x
    x = 9,494.40/83
  6. Step 6: Final answer
    x = 114.39

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1.5x scale

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.