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Finding the Fourth Proportional to 82.77, 123.24 and 79.85

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Solution

The fourth proportional to 82.77, 123.24 and 79.85 is: 118.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.77 : 123.24 = 79.85 : x
  2. Step 2: Convert to fraction form
    82.77/123.24 = 79.85/x
  3. Step 3: Cross multiply
    82.77x = 123.24 × 79.85
  4. Step 4: Simplify right side
    82.77x = 9,840.10
  5. Step 5: Solve for x
    x = 9,840.10/82.77
  6. Step 6: Final answer
    x = 118.89

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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.