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Finding the Fourth Proportional to 324.98, 447.96 and 219.86

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Solution

The fourth proportional to 324.98, 447.96 and 219.86 is: 303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.98 : 447.96 = 219.86 : x
  2. Step 2: Convert to fraction form
    324.98/447.96 = 219.86/x
  3. Step 3: Cross multiply
    324.98x = 447.96 × 219.86
  4. Step 4: Simplify right side
    324.98x = 98,488.49
  5. Step 5: Solve for x
    x = 98,488.49/324.98
  6. Step 6: Final answer
    x = 303.06

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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.