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Finding the Fourth Proportional to 8.83, 12.25 and 8.22

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Solution

The fourth proportional to 8.83, 12.25 and 8.22 is: 11.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.83 : 12.25 = 8.22 : x
  2. Step 2: Convert to fraction form
    8.83/12.25 = 8.22/x
  3. Step 3: Cross multiply
    8.83x = 12.25 × 8.22
  4. Step 4: Simplify right side
    8.83x = 100.75
  5. Step 5: Solve for x
    x = 100.75/8.83
  6. Step 6: Final answer
    x = 11.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.