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Finding the Fourth Proportional to 306.52, 423.16 and 196.02

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Solution

The fourth proportional to 306.52, 423.16 and 196.02 is: 270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.52 : 423.16 = 196.02 : x
  2. Step 2: Convert to fraction form
    306.52/423.16 = 196.02/x
  3. Step 3: Cross multiply
    306.52x = 423.16 × 196.02
  4. Step 4: Simplify right side
    306.52x = 82,947.33
  5. Step 5: Solve for x
    x = 82,947.33/306.52
  6. Step 6: Final answer
    x = 270.61

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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.