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Finding the Fourth Proportional to 85.08, 116.59 and 82.25

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Solution

The fourth proportional to 85.08, 116.59 and 82.25 is: 112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.08 : 116.59 = 82.25 : x
  2. Step 2: Convert to fraction form
    85.08/116.59 = 82.25/x
  3. Step 3: Cross multiply
    85.08x = 116.59 × 82.25
  4. Step 4: Simplify right side
    85.08x = 9,588.74
  5. Step 5: Solve for x
    x = 9,588.74/85.08
  6. Step 6: Final answer
    x = 112.70

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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.