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Finding the Fourth Proportional to 83.31, 124.07 and 82.77

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Solution

The fourth proportional to 83.31, 124.07 and 82.77 is: 123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.31 : 124.07 = 82.77 : x
  2. Step 2: Convert to fraction form
    83.31/124.07 = 82.77/x
  3. Step 3: Cross multiply
    83.31x = 124.07 × 82.77
  4. Step 4: Simplify right side
    83.31x = 10,268.86
  5. Step 5: Solve for x
    x = 10,268.86/83.31
  6. Step 6: Final answer
    x = 123.26

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