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Finding the Fourth Proportional to 355.25, 490.49 and 231.11

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Solution

The fourth proportional to 355.25, 490.49 and 231.11 is: 319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.25 : 490.49 = 231.11 : x
  2. Step 2: Convert to fraction form
    355.25/490.49 = 231.11/x
  3. Step 3: Cross multiply
    355.25x = 490.49 × 231.11
  4. Step 4: Simplify right side
    355.25x = 113,353.54
  5. Step 5: Solve for x
    x = 113,353.54/355.25
  6. Step 6: Final answer
    x = 319.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.