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Finding the Fourth Proportional to 85.98, 117.88 and 84.44

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Solution

The fourth proportional to 85.98, 117.88 and 84.44 is: 115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.98 : 117.88 = 84.44 : x
  2. Step 2: Convert to fraction form
    85.98/117.88 = 84.44/x
  3. Step 3: Cross multiply
    85.98x = 117.88 × 84.44
  4. Step 4: Simplify right side
    85.98x = 9,952.78
  5. Step 5: Solve for x
    x = 9,952.78/85.98
  6. Step 6: Final answer
    x = 115.76

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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.