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Finding the Fourth Proportional to 249.69, 344.49 and 144.76

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Solution

The fourth proportional to 249.69, 344.49 and 144.76 is: 199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.69 : 344.49 = 144.76 : x
  2. Step 2: Convert to fraction form
    249.69/344.49 = 144.76/x
  3. Step 3: Cross multiply
    249.69x = 344.49 × 144.76
  4. Step 4: Simplify right side
    249.69x = 49,867.51
  5. Step 5: Solve for x
    x = 49,867.51/249.69
  6. Step 6: Final answer
    x = 199.72

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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.