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Finding the Fourth Proportional to 85.25, 127.01 and 82.31

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Solution

The fourth proportional to 85.25, 127.01 and 82.31 is: 122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.25 : 127.01 = 82.31 : x
  2. Step 2: Convert to fraction form
    85.25/127.01 = 82.31/x
  3. Step 3: Cross multiply
    85.25x = 127.01 × 82.31
  4. Step 4: Simplify right side
    85.25x = 10,453.76
  5. Step 5: Solve for x
    x = 10,453.76/85.25
  6. Step 6: Final answer
    x = 122.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.