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Finding the Fourth Proportional to 249.76, 344.66 and 139.24

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Solution

The fourth proportional to 249.76, 344.66 and 139.24 is: 192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.76 : 344.66 = 139.24 : x
  2. Step 2: Convert to fraction form
    249.76/344.66 = 139.24/x
  3. Step 3: Cross multiply
    249.76x = 344.66 × 139.24
  4. Step 4: Simplify right side
    249.76x = 47,990.46
  5. Step 5: Solve for x
    x = 47,990.46/249.76
  6. Step 6: Final answer
    x = 192.15

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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.