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Finding the Fourth Proportional to 306.20, 422.42 and 271.27

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Solution

The fourth proportional to 306.20, 422.42 and 271.27 is: 374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.20 : 422.42 = 271.27 : x
  2. Step 2: Convert to fraction form
    306.20/422.42 = 271.27/x
  3. Step 3: Cross multiply
    306.20x = 422.42 × 271.27
  4. Step 4: Simplify right side
    306.20x = 114,586.40
  5. Step 5: Solve for x
    x = 114,586.40/306.20
  6. Step 6: Final answer
    x = 374.22

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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.