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Finding the Fourth Proportional to 234.30, 349.40 and 205.54

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Solution

The fourth proportional to 234.30, 349.40 and 205.54 is: 306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.30 : 349.40 = 205.54 : x
  2. Step 2: Convert to fraction form
    234.30/349.40 = 205.54/x
  3. Step 3: Cross multiply
    234.30x = 349.40 × 205.54
  4. Step 4: Simplify right side
    234.30x = 71,815.68
  5. Step 5: Solve for x
    x = 71,815.68/234.30
  6. Step 6: Final answer
    x = 306.51

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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.