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Finding the Fourth Proportional to 324.30, 447.74 and 213.98

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Solution

The fourth proportional to 324.30, 447.74 and 213.98 is: 295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.30 : 447.74 = 213.98 : x
  2. Step 2: Convert to fraction form
    324.30/447.74 = 213.98/x
  3. Step 3: Cross multiply
    324.30x = 447.74 × 213.98
  4. Step 4: Simplify right side
    324.30x = 95,804.10
  5. Step 5: Solve for x
    x = 95,804.10/324.30
  6. Step 6: Final answer
    x = 295.42

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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.