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Finding the Fourth Proportional to 249.68, 344.51 and 144.72

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Solution

The fourth proportional to 249.68, 344.51 and 144.72 is: 199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.68 : 344.51 = 144.72 : x
  2. Step 2: Convert to fraction form
    249.68/344.51 = 144.72/x
  3. Step 3: Cross multiply
    249.68x = 344.51 × 144.72
  4. Step 4: Simplify right side
    249.68x = 49,856.68
  5. Step 5: Solve for x
    x = 49,856.68/249.68
  6. Step 6: Final answer
    x = 199.68

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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.