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Finding the Fourth Proportional to 389.38, 537.53 and 249.70

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Solution

The fourth proportional to 389.38, 537.53 and 249.70 is: 344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.38 : 537.53 = 249.70 : x
  2. Step 2: Convert to fraction form
    389.38/537.53 = 249.70/x
  3. Step 3: Cross multiply
    389.38x = 537.53 × 249.70
  4. Step 4: Simplify right side
    389.38x = 134,221.24
  5. Step 5: Solve for x
    x = 134,221.24/389.38
  6. Step 6: Final answer
    x = 344.71

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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.