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Finding the Fourth Proportional to 306.74, 422.85 and 219.26

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Solution

The fourth proportional to 306.74, 422.85 and 219.26 is: 302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.74 : 422.85 = 219.26 : x
  2. Step 2: Convert to fraction form
    306.74/422.85 = 219.26/x
  3. Step 3: Cross multiply
    306.74x = 422.85 × 219.26
  4. Step 4: Simplify right side
    306.74x = 92,711.98
  5. Step 5: Solve for x
    x = 92,711.98/306.74
  6. Step 6: Final answer
    x = 302.25

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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.