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Finding the Fourth Proportional to 306.61, 422.69 and 219.13

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Solution

The fourth proportional to 306.61, 422.69 and 219.13 is: 302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.61 : 422.69 = 219.13 : x
  2. Step 2: Convert to fraction form
    306.61/422.69 = 219.13/x
  3. Step 3: Cross multiply
    306.61x = 422.69 × 219.13
  4. Step 4: Simplify right side
    306.61x = 92,621.91
  5. Step 5: Solve for x
    x = 92,621.91/306.61
  6. Step 6: Final answer
    x = 302.09

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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.