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Finding the Fourth Proportional to 85.20, 118.19 and 82.37

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Solution

The fourth proportional to 85.20, 118.19 and 82.37 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.20 : 118.19 = 82.37 : x
  2. Step 2: Convert to fraction form
    85.20/118.19 = 82.37/x
  3. Step 3: Cross multiply
    85.20x = 118.19 × 82.37
  4. Step 4: Simplify right side
    85.20x = 9,734.31
  5. Step 5: Solve for x
    x = 9,734.31/85.20
  6. Step 6: Final answer
    x = 114.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.