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Finding the Fourth Proportional to 84.88, 116.44 and 83.08

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Solution

The fourth proportional to 84.88, 116.44 and 83.08 is: 113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.88 : 116.44 = 83.08 : x
  2. Step 2: Convert to fraction form
    84.88/116.44 = 83.08/x
  3. Step 3: Cross multiply
    84.88x = 116.44 × 83.08
  4. Step 4: Simplify right side
    84.88x = 9,673.84
  5. Step 5: Solve for x
    x = 9,673.84/84.88
  6. Step 6: Final answer
    x = 113.97

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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.