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Finding the Fourth Proportional to 306.74, 422.96 and 219.62

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Solution

The fourth proportional to 306.74, 422.96 and 219.62 is: 302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.74 : 422.96 = 219.62 : x
  2. Step 2: Convert to fraction form
    306.74/422.96 = 219.62/x
  3. Step 3: Cross multiply
    306.74x = 422.96 × 219.62
  4. Step 4: Simplify right side
    306.74x = 92,890.48
  5. Step 5: Solve for x
    x = 92,890.48/306.74
  6. Step 6: Final answer
    x = 302.83

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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.