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Finding the Fourth Proportional to 249.20, 375.49 and 206.81

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Solution

The fourth proportional to 249.20, 375.49 and 206.81 is: 311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.20 : 375.49 = 206.81 : x
  2. Step 2: Convert to fraction form
    249.20/375.49 = 206.81/x
  3. Step 3: Cross multiply
    249.20x = 375.49 × 206.81
  4. Step 4: Simplify right side
    249.20x = 77,655.09
  5. Step 5: Solve for x
    x = 77,655.09/249.20
  6. Step 6: Final answer
    x = 311.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.