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Finding the Fourth Proportional to 394.57, 590.91 and 221.41

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Solution

The fourth proportional to 394.57, 590.91 and 221.41 is: 331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.57 : 590.91 = 221.41 : x
  2. Step 2: Convert to fraction form
    394.57/590.91 = 221.41/x
  3. Step 3: Cross multiply
    394.57x = 590.91 × 221.41
  4. Step 4: Simplify right side
    394.57x = 130,833.38
  5. Step 5: Solve for x
    x = 130,833.38/394.57
  6. Step 6: Final answer
    x = 331.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.