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Finding the Fourth Proportional to 324.03, 447.11 and 193.07

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Solution

The fourth proportional to 324.03, 447.11 and 193.07 is: 266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.03 : 447.11 = 193.07 : x
  2. Step 2: Convert to fraction form
    324.03/447.11 = 193.07/x
  3. Step 3: Cross multiply
    324.03x = 447.11 × 193.07
  4. Step 4: Simplify right side
    324.03x = 86,320.33
  5. Step 5: Solve for x
    x = 86,320.33/324.03
  6. Step 6: Final answer
    x = 266.40

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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.