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Finding the Fourth Proportional to 84.60, 115.92 and 83.88

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Solution

The fourth proportional to 84.60, 115.92 and 83.88 is: 114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.60 : 115.92 = 83.88 : x
  2. Step 2: Convert to fraction form
    84.60/115.92 = 83.88/x
  3. Step 3: Cross multiply
    84.60x = 115.92 × 83.88
  4. Step 4: Simplify right side
    84.60x = 9,723.37
  5. Step 5: Solve for x
    x = 9,723.37/84.60
  6. Step 6: Final answer
    x = 114.93

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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.