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Finding the Fourth Proportional to 249.15, 343.71 and 149.56

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Solution

The fourth proportional to 249.15, 343.71 and 149.56 is: 206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.15 : 343.71 = 149.56 : x
  2. Step 2: Convert to fraction form
    249.15/343.71 = 149.56/x
  3. Step 3: Cross multiply
    249.15x = 343.71 × 149.56
  4. Step 4: Simplify right side
    249.15x = 51,405.27
  5. Step 5: Solve for x
    x = 51,405.27/249.15
  6. Step 6: Final answer
    x = 206.32

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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.