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Finding the Fourth Proportional to 234.70, 350.38 and 198.24

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Solution

The fourth proportional to 234.70, 350.38 and 198.24 is: 295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.70 : 350.38 = 198.24 : x
  2. Step 2: Convert to fraction form
    234.70/350.38 = 198.24/x
  3. Step 3: Cross multiply
    234.70x = 350.38 × 198.24
  4. Step 4: Simplify right side
    234.70x = 69,459.33
  5. Step 5: Solve for x
    x = 69,459.33/234.70
  6. Step 6: Final answer
    x = 295.95

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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.