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Finding the Fourth Proportional to 324.37, 447.46 and 213.81

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Solution

The fourth proportional to 324.37, 447.46 and 213.81 is: 294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.37 : 447.46 = 213.81 : x
  2. Step 2: Convert to fraction form
    324.37/447.46 = 213.81/x
  3. Step 3: Cross multiply
    324.37x = 447.46 × 213.81
  4. Step 4: Simplify right side
    324.37x = 95,669.21
  5. Step 5: Solve for x
    x = 95,669.21/324.37
  6. Step 6: Final answer
    x = 294.94

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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.