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Finding the Fourth Proportional to 324.24, 447.36 and 199.86

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Solution

The fourth proportional to 324.24, 447.36 and 199.86 is: 275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.24 : 447.36 = 199.86 : x
  2. Step 2: Convert to fraction form
    324.24/447.36 = 199.86/x
  3. Step 3: Cross multiply
    324.24x = 447.36 × 199.86
  4. Step 4: Simplify right side
    324.24x = 89,409.37
  5. Step 5: Solve for x
    x = 89,409.37/324.24
  6. Step 6: Final answer
    x = 275.75

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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.