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Finding the Fourth Proportional to 83.30, 114.90 and 81.86

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Solution

The fourth proportional to 83.30, 114.90 and 81.86 is: 112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.30 : 114.90 = 81.86 : x
  2. Step 2: Convert to fraction form
    83.30/114.90 = 81.86/x
  3. Step 3: Cross multiply
    83.30x = 114.90 × 81.86
  4. Step 4: Simplify right side
    83.30x = 9,405.71
  5. Step 5: Solve for x
    x = 9,405.71/83.30
  6. Step 6: Final answer
    x = 112.91

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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.