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Finding the Fourth Proportional to 82.28, 112.90 and 79.04

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Solution

The fourth proportional to 82.28, 112.90 and 79.04 is: 108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.28 : 112.90 = 79.04 : x
  2. Step 2: Convert to fraction form
    82.28/112.90 = 79.04/x
  3. Step 3: Cross multiply
    82.28x = 112.90 × 79.04
  4. Step 4: Simplify right side
    82.28x = 8,923.62
  5. Step 5: Solve for x
    x = 8,923.62/82.28
  6. Step 6: Final answer
    x = 108.45

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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.