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Finding the Fourth Proportional to 234.27, 349.38 and 200.25

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Solution

The fourth proportional to 234.27, 349.38 and 200.25 is: 298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.27 : 349.38 = 200.25 : x
  2. Step 2: Convert to fraction form
    234.27/349.38 = 200.25/x
  3. Step 3: Cross multiply
    234.27x = 349.38 × 200.25
  4. Step 4: Simplify right side
    234.27x = 69,963.35
  5. Step 5: Solve for x
    x = 69,963.35/234.27
  6. Step 6: Final answer
    x = 298.64

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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.