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Finding the Fourth Proportional to 324.14, 447.36 and 193.10

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Solution

The fourth proportional to 324.14, 447.36 and 193.10 is: 266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.14 : 447.36 = 193.10 : x
  2. Step 2: Convert to fraction form
    324.14/447.36 = 193.10/x
  3. Step 3: Cross multiply
    324.14x = 447.36 × 193.10
  4. Step 4: Simplify right side
    324.14x = 86,385.22
  5. Step 5: Solve for x
    x = 86,385.22/324.14
  6. Step 6: Final answer
    x = 266.51

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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.