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Finding the Fourth Proportional to 404.26, 606.83 and 323.60

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Solution

The fourth proportional to 404.26, 606.83 and 323.60 is: 485.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.26 : 606.83 = 323.60 : x
  2. Step 2: Convert to fraction form
    404.26/606.83 = 323.60/x
  3. Step 3: Cross multiply
    404.26x = 606.83 × 323.60
  4. Step 4: Simplify right side
    404.26x = 196,365.54
  5. Step 5: Solve for x
    x = 196,365.54/404.26
  6. Step 6: Final answer
    x = 485.74

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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.