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Finding the Fourth Proportional to 306.20, 422.34 and 195.68

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Solution

The fourth proportional to 306.20, 422.34 and 195.68 is: 269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.20 : 422.34 = 195.68 : x
  2. Step 2: Convert to fraction form
    306.20/422.34 = 195.68/x
  3. Step 3: Cross multiply
    306.20x = 422.34 × 195.68
  4. Step 4: Simplify right side
    306.20x = 82,643.49
  5. Step 5: Solve for x
    x = 82,643.49/306.20
  6. Step 6: Final answer
    x = 269.90

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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.