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Finding the Fourth Proportional to 406.07, 608.97 and 223.55

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Solution

The fourth proportional to 406.07, 608.97 and 223.55 is: 335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.07 : 608.97 = 223.55 : x
  2. Step 2: Convert to fraction form
    406.07/608.97 = 223.55/x
  3. Step 3: Cross multiply
    406.07x = 608.97 × 223.55
  4. Step 4: Simplify right side
    406.07x = 136,135.24
  5. Step 5: Solve for x
    x = 136,135.24/406.07
  6. Step 6: Final answer
    x = 335.25

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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.