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Finding the Fourth Proportional to 306.75, 423.24 and 196.03

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Solution

The fourth proportional to 306.75, 423.24 and 196.03 is: 270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.75 : 423.24 = 196.03 : x
  2. Step 2: Convert to fraction form
    306.75/423.24 = 196.03/x
  3. Step 3: Cross multiply
    306.75x = 423.24 × 196.03
  4. Step 4: Simplify right side
    306.75x = 82,967.74
  5. Step 5: Solve for x
    x = 82,967.74/306.75
  6. Step 6: Final answer
    x = 270.47

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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.