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Finding the Fourth Proportional to 85.34, 118.37 and 82.27

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Solution

The fourth proportional to 85.34, 118.37 and 82.27 is: 114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.34 : 118.37 = 82.27 : x
  2. Step 2: Convert to fraction form
    85.34/118.37 = 82.27/x
  3. Step 3: Cross multiply
    85.34x = 118.37 × 82.27
  4. Step 4: Simplify right side
    85.34x = 9,737.76
  5. Step 5: Solve for x
    x = 9,737.76/85.34
  6. Step 6: Final answer
    x = 114.11

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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.