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Finding the Fourth Proportional to 306.24, 422.70 and 195.78

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Solution

The fourth proportional to 306.24, 422.70 and 195.78 is: 270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.24 : 422.70 = 195.78 : x
  2. Step 2: Convert to fraction form
    306.24/422.70 = 195.78/x
  3. Step 3: Cross multiply
    306.24x = 422.70 × 195.78
  4. Step 4: Simplify right side
    306.24x = 82,756.21
  5. Step 5: Solve for x
    x = 82,756.21/306.24
  6. Step 6: Final answer
    x = 270.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.