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Finding the Fourth Proportional to 306.55, 423.16 and 196.09

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Solution

The fourth proportional to 306.55, 423.16 and 196.09 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.55 : 423.16 = 196.09 : x
  2. Step 2: Convert to fraction form
    306.55/423.16 = 196.09/x
  3. Step 3: Cross multiply
    306.55x = 423.16 × 196.09
  4. Step 4: Simplify right side
    306.55x = 82,977.79
  5. Step 5: Solve for x
    x = 82,977.79/306.55
  6. Step 6: Final answer
    x = 270.68

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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.