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Finding the Fourth Proportional to 249.13, 342.33 and 199.92

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Solution

The fourth proportional to 249.13, 342.33 and 199.92 is: 274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.13 : 342.33 = 199.92 : x
  2. Step 2: Convert to fraction form
    249.13/342.33 = 199.92/x
  3. Step 3: Cross multiply
    249.13x = 342.33 × 199.92
  4. Step 4: Simplify right side
    249.13x = 68,437.22
  5. Step 5: Solve for x
    x = 68,437.22/249.13
  6. Step 6: Final answer
    x = 274.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.