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Finding the Fourth Proportional to 234.52, 349.09 and 231.05

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Solution

The fourth proportional to 234.52, 349.09 and 231.05 is: 343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.52 : 349.09 = 231.05 : x
  2. Step 2: Convert to fraction form
    234.52/349.09 = 231.05/x
  3. Step 3: Cross multiply
    234.52x = 349.09 × 231.05
  4. Step 4: Simplify right side
    234.52x = 80,657.24
  5. Step 5: Solve for x
    x = 80,657.24/234.52
  6. Step 6: Final answer
    x = 343.92

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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.