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Finding the Fourth Proportional to 249.24, 345.38 and 243.57

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Solution

The fourth proportional to 249.24, 345.38 and 243.57 is: 337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.24 : 345.38 = 243.57 : x
  2. Step 2: Convert to fraction form
    249.24/345.38 = 243.57/x
  3. Step 3: Cross multiply
    249.24x = 345.38 × 243.57
  4. Step 4: Simplify right side
    249.24x = 84,124.21
  5. Step 5: Solve for x
    x = 84,124.21/249.24
  6. Step 6: Final answer
    x = 337.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.