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Finding the Fourth Proportional to 306.46, 423.16 and 196.12

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Solution

The fourth proportional to 306.46, 423.16 and 196.12 is: 270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.46 : 423.16 = 196.12 : x
  2. Step 2: Convert to fraction form
    306.46/423.16 = 196.12/x
  3. Step 3: Cross multiply
    306.46x = 423.16 × 196.12
  4. Step 4: Simplify right side
    306.46x = 82,990.14
  5. Step 5: Solve for x
    x = 82,990.14/306.46
  6. Step 6: Final answer
    x = 270.80

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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.