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Finding the Fourth Proportional to 324.42, 447.81 and 219.54

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Solution

The fourth proportional to 324.42, 447.81 and 219.54 is: 303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.42 : 447.81 = 219.54 : x
  2. Step 2: Convert to fraction form
    324.42/447.81 = 219.54/x
  3. Step 3: Cross multiply
    324.42x = 447.81 × 219.54
  4. Step 4: Simplify right side
    324.42x = 98,312.21
  5. Step 5: Solve for x
    x = 98,312.21/324.42
  6. Step 6: Final answer
    x = 303.04

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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.