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Finding the Fourth Proportional to 324.18, 447.38 and 193.22

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Solution

The fourth proportional to 324.18, 447.38 and 193.22 is: 266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.18 : 447.38 = 193.22 : x
  2. Step 2: Convert to fraction form
    324.18/447.38 = 193.22/x
  3. Step 3: Cross multiply
    324.18x = 447.38 × 193.22
  4. Step 4: Simplify right side
    324.18x = 86,442.76
  5. Step 5: Solve for x
    x = 86,442.76/324.18
  6. Step 6: Final answer
    x = 266.65

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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.