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Finding the Fourth Proportional to 82.32, 112.77 and 79.24

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Solution

The fourth proportional to 82.32, 112.77 and 79.24 is: 108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.32 : 112.77 = 79.24 : x
  2. Step 2: Convert to fraction form
    82.32/112.77 = 79.24/x
  3. Step 3: Cross multiply
    82.32x = 112.77 × 79.24
  4. Step 4: Simplify right side
    82.32x = 8,935.61
  5. Step 5: Solve for x
    x = 8,935.61/82.32
  6. Step 6: Final answer
    x = 108.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.