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Finding the Fourth Proportional to 249.38, 343.14 and 243.02

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Solution

The fourth proportional to 249.38, 343.14 and 243.02 is: 334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.38 : 343.14 = 243.02 : x
  2. Step 2: Convert to fraction form
    249.38/343.14 = 243.02/x
  3. Step 3: Cross multiply
    249.38x = 343.14 × 243.02
  4. Step 4: Simplify right side
    249.38x = 83,389.88
  5. Step 5: Solve for x
    x = 83,389.88/249.38
  6. Step 6: Final answer
    x = 334.39

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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.