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Finding the Fourth Proportional to 249.16, 344.10 and 197.80

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Solution

The fourth proportional to 249.16, 344.10 and 197.80 is: 273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.16 : 344.10 = 197.80 : x
  2. Step 2: Convert to fraction form
    249.16/344.10 = 197.80/x
  3. Step 3: Cross multiply
    249.16x = 344.10 × 197.80
  4. Step 4: Simplify right side
    249.16x = 68,062.98
  5. Step 5: Solve for x
    x = 68,062.98/249.16
  6. Step 6: Final answer
    x = 273.17

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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.