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Finding the Fourth Proportional to 249.49, 372.79 and 200.89

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Solution

The fourth proportional to 249.49, 372.79 and 200.89 is: 300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.49 : 372.79 = 200.89 : x
  2. Step 2: Convert to fraction form
    249.49/372.79 = 200.89/x
  3. Step 3: Cross multiply
    249.49x = 372.79 × 200.89
  4. Step 4: Simplify right side
    249.49x = 74,889.78
  5. Step 5: Solve for x
    x = 74,889.78/249.49
  6. Step 6: Final answer
    x = 300.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.