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Finding the Fourth Proportional to 234.09, 349.58 and 231.55

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Solution

The fourth proportional to 234.09, 349.58 and 231.55 is: 345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.09 : 349.58 = 231.55 : x
  2. Step 2: Convert to fraction form
    234.09/349.58 = 231.55/x
  3. Step 3: Cross multiply
    234.09x = 349.58 × 231.55
  4. Step 4: Simplify right side
    234.09x = 80,944.95
  5. Step 5: Solve for x
    x = 80,944.95/234.09
  6. Step 6: Final answer
    x = 345.79

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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.