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Finding the Fourth Proportional to 249.03, 342.90 and 199.71

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Solution

The fourth proportional to 249.03, 342.90 and 199.71 is: 274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.03 : 342.90 = 199.71 : x
  2. Step 2: Convert to fraction form
    249.03/342.90 = 199.71/x
  3. Step 3: Cross multiply
    249.03x = 342.90 × 199.71
  4. Step 4: Simplify right side
    249.03x = 68,480.56
  5. Step 5: Solve for x
    x = 68,480.56/249.03
  6. Step 6: Final answer
    x = 274.99

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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.