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Finding the Fourth Proportional to 249.31, 344.13 and 202.65

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Solution

The fourth proportional to 249.31, 344.13 and 202.65 is: 279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.31 : 344.13 = 202.65 : x
  2. Step 2: Convert to fraction form
    249.31/344.13 = 202.65/x
  3. Step 3: Cross multiply
    249.31x = 344.13 × 202.65
  4. Step 4: Simplify right side
    249.31x = 69,738.20
  5. Step 5: Solve for x
    x = 69,738.20/249.31
  6. Step 6: Final answer
    x = 279.72

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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.