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Finding the Fourth Proportional to 247.96, 341.82 and 222.04

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Solution

The fourth proportional to 247.96, 341.82 and 222.04 is: 306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.96 : 341.82 = 222.04 : x
  2. Step 2: Convert to fraction form
    247.96/341.82 = 222.04/x
  3. Step 3: Cross multiply
    247.96x = 341.82 × 222.04
  4. Step 4: Simplify right side
    247.96x = 75,897.71
  5. Step 5: Solve for x
    x = 75,897.71/247.96
  6. Step 6: Final answer
    x = 306.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.