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Finding the Fourth Proportional to 83.37, 124.44 and 82.46

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Solution

The fourth proportional to 83.37, 124.44 and 82.46 is: 123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.37 : 124.44 = 82.46 : x
  2. Step 2: Convert to fraction form
    83.37/124.44 = 82.46/x
  3. Step 3: Cross multiply
    83.37x = 124.44 × 82.46
  4. Step 4: Simplify right side
    83.37x = 10,261.63
  5. Step 5: Solve for x
    x = 10,261.63/83.37
  6. Step 6: Final answer
    x = 123.09

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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.