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Finding the Fourth Proportional to 279.45, 385.16 and 196.43

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Solution

The fourth proportional to 279.45, 385.16 and 196.43 is: 270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.45 : 385.16 = 196.43 : x
  2. Step 2: Convert to fraction form
    279.45/385.16 = 196.43/x
  3. Step 3: Cross multiply
    279.45x = 385.16 × 196.43
  4. Step 4: Simplify right side
    279.45x = 75,654.07
  5. Step 5: Solve for x
    x = 75,654.07/279.45
  6. Step 6: Final answer
    x = 270.72

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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.