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Finding the Fourth Proportional to 234.45, 349.97 and 197.91

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Solution

The fourth proportional to 234.45, 349.97 and 197.91 is: 295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.45 : 349.97 = 197.91 : x
  2. Step 2: Convert to fraction form
    234.45/349.97 = 197.91/x
  3. Step 3: Cross multiply
    234.45x = 349.97 × 197.91
  4. Step 4: Simplify right side
    234.45x = 69,261.57
  5. Step 5: Solve for x
    x = 69,261.57/234.45
  6. Step 6: Final answer
    x = 295.42

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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.