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Finding the Fourth Proportional to 305.96, 422.24 and 167.96

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Solution

The fourth proportional to 305.96, 422.24 and 167.96 is: 231.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.96 : 422.24 = 167.96 : x
  2. Step 2: Convert to fraction form
    305.96/422.24 = 167.96/x
  3. Step 3: Cross multiply
    305.96x = 422.24 × 167.96
  4. Step 4: Simplify right side
    305.96x = 70,919.43
  5. Step 5: Solve for x
    x = 70,919.43/305.96
  6. Step 6: Final answer
    x = 231.79

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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.