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Finding the Fourth Proportional to 249.78, 344.68 and 139.25

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Solution

The fourth proportional to 249.78, 344.68 and 139.25 is: 192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.78 : 344.68 = 139.25 : x
  2. Step 2: Convert to fraction form
    249.78/344.68 = 139.25/x
  3. Step 3: Cross multiply
    249.78x = 344.68 × 139.25
  4. Step 4: Simplify right side
    249.78x = 47,996.69
  5. Step 5: Solve for x
    x = 47,996.69/249.78
  6. Step 6: Final answer
    x = 192.16

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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.