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Finding the Fourth Proportional to 306.72, 422.92 and 218.22

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Solution

The fourth proportional to 306.72, 422.92 and 218.22 is: 300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.72 : 422.92 = 218.22 : x
  2. Step 2: Convert to fraction form
    306.72/422.92 = 218.22/x
  3. Step 3: Cross multiply
    306.72x = 422.92 × 218.22
  4. Step 4: Simplify right side
    306.72x = 92,289.60
  5. Step 5: Solve for x
    x = 92,289.60/306.72
  6. Step 6: Final answer
    x = 300.89

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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.