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Finding the Fourth Proportional to 249.71, 344.59 and 137.68

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Solution

The fourth proportional to 249.71, 344.59 and 137.68 is: 189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.71 : 344.59 = 137.68 : x
  2. Step 2: Convert to fraction form
    249.71/344.59 = 137.68/x
  3. Step 3: Cross multiply
    249.71x = 344.59 × 137.68
  4. Step 4: Simplify right side
    249.71x = 47,443.15
  5. Step 5: Solve for x
    x = 47,443.15/249.71
  6. Step 6: Final answer
    x = 189.99

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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.