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Finding the Fourth Proportional to 82.77, 123.38 and 77.55

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Solution

The fourth proportional to 82.77, 123.38 and 77.55 is: 115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.77 : 123.38 = 77.55 : x
  2. Step 2: Convert to fraction form
    82.77/123.38 = 77.55/x
  3. Step 3: Cross multiply
    82.77x = 123.38 × 77.55
  4. Step 4: Simplify right side
    82.77x = 9,567.73
  5. Step 5: Solve for x
    x = 9,567.73/82.77
  6. Step 6: Final answer
    x = 115.59

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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.