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Finding the Fourth Proportional to 249.20, 344.01 and 149.66

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Solution

The fourth proportional to 249.20, 344.01 and 149.66 is: 206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.20 : 344.01 = 149.66 : x
  2. Step 2: Convert to fraction form
    249.20/344.01 = 149.66/x
  3. Step 3: Cross multiply
    249.20x = 344.01 × 149.66
  4. Step 4: Simplify right side
    249.20x = 51,484.16
  5. Step 5: Solve for x
    x = 51,484.16/249.20
  6. Step 6: Final answer
    x = 206.60

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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.