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Finding the Fourth Proportional to 83.21, 125.37 and 82.26

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Solution

The fourth proportional to 83.21, 125.37 and 82.26 is: 123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.21 : 125.37 = 82.26 : x
  2. Step 2: Convert to fraction form
    83.21/125.37 = 82.26/x
  3. Step 3: Cross multiply
    83.21x = 125.37 × 82.26
  4. Step 4: Simplify right side
    83.21x = 10,312.94
  5. Step 5: Solve for x
    x = 10,312.94/83.21
  6. Step 6: Final answer
    x = 123.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.