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Finding the Fourth Proportional to 406.92, 561.83 and 324.21

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Solution

The fourth proportional to 406.92, 561.83 and 324.21 is: 447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.92 : 561.83 = 324.21 : x
  2. Step 2: Convert to fraction form
    406.92/561.83 = 324.21/x
  3. Step 3: Cross multiply
    406.92x = 561.83 × 324.21
  4. Step 4: Simplify right side
    406.92x = 182,149.28
  5. Step 5: Solve for x
    x = 182,149.28/406.92
  6. Step 6: Final answer
    x = 447.63

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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.