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Finding the Fourth Proportional to 324.02, 447.20 and 193.03

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Solution

The fourth proportional to 324.02, 447.20 and 193.03 is: 266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.02 : 447.20 = 193.03 : x
  2. Step 2: Convert to fraction form
    324.02/447.20 = 193.03/x
  3. Step 3: Cross multiply
    324.02x = 447.20 × 193.03
  4. Step 4: Simplify right side
    324.02x = 86,323.02
  5. Step 5: Solve for x
    x = 86,323.02/324.02
  6. Step 6: Final answer
    x = 266.41

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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.