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Finding the Fourth Proportional to 85.12, 116.44 and 84.88

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Solution

The fourth proportional to 85.12, 116.44 and 84.88 is: 116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.12 : 116.44 = 84.88 : x
  2. Step 2: Convert to fraction form
    85.12/116.44 = 84.88/x
  3. Step 3: Cross multiply
    85.12x = 116.44 × 84.88
  4. Step 4: Simplify right side
    85.12x = 9,883.43
  5. Step 5: Solve for x
    x = 9,883.43/85.12
  6. Step 6: Final answer
    x = 116.11

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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.