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Finding the Fourth Proportional to 306.30, 422.82 and 219.09

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Solution

The fourth proportional to 306.30, 422.82 and 219.09 is: 302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.30 : 422.82 = 219.09 : x
  2. Step 2: Convert to fraction form
    306.30/422.82 = 219.09/x
  3. Step 3: Cross multiply
    306.30x = 422.82 × 219.09
  4. Step 4: Simplify right side
    306.30x = 92,635.63
  5. Step 5: Solve for x
    x = 92,635.63/306.30
  6. Step 6: Final answer
    x = 302.43

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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.