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Finding the Fourth Proportional to 83.10, 114.38 and 76.84

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Solution

The fourth proportional to 83.10, 114.38 and 76.84 is: 105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.10 : 114.38 = 76.84 : x
  2. Step 2: Convert to fraction form
    83.10/114.38 = 76.84/x
  3. Step 3: Cross multiply
    83.10x = 114.38 × 76.84
  4. Step 4: Simplify right side
    83.10x = 8,788.96
  5. Step 5: Solve for x
    x = 8,788.96/83.10
  6. Step 6: Final answer
    x = 105.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.