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Finding the Fourth Proportional to 324.30, 447.78 and 219.60

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Solution

The fourth proportional to 324.30, 447.78 and 219.60 is: 303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.30 : 447.78 = 219.60 : x
  2. Step 2: Convert to fraction form
    324.30/447.78 = 219.60/x
  3. Step 3: Cross multiply
    324.30x = 447.78 × 219.60
  4. Step 4: Simplify right side
    324.30x = 98,332.49
  5. Step 5: Solve for x
    x = 98,332.49/324.30
  6. Step 6: Final answer
    x = 303.21

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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.