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Finding the Fourth Proportional to 406.25, 608.97 and 223.73

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Solution

The fourth proportional to 406.25, 608.97 and 223.73 is: 335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.25 : 608.97 = 223.73 : x
  2. Step 2: Convert to fraction form
    406.25/608.97 = 223.73/x
  3. Step 3: Cross multiply
    406.25x = 608.97 × 223.73
  4. Step 4: Simplify right side
    406.25x = 136,244.86
  5. Step 5: Solve for x
    x = 136,244.86/406.25
  6. Step 6: Final answer
    x = 335.37

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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.