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Finding the Fourth Proportional to 324.84, 447.78 and 219.72

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Solution

The fourth proportional to 324.84, 447.78 and 219.72 is: 302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.84 : 447.78 = 219.72 : x
  2. Step 2: Convert to fraction form
    324.84/447.78 = 219.72/x
  3. Step 3: Cross multiply
    324.84x = 447.78 × 219.72
  4. Step 4: Simplify right side
    324.84x = 98,386.22
  5. Step 5: Solve for x
    x = 98,386.22/324.84
  6. Step 6: Final answer
    x = 302.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.