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Finding the Fourth Proportional to 323.69, 446.59 and 199.24

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Solution

The fourth proportional to 323.69, 446.59 and 199.24 is: 274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.69 : 446.59 = 199.24 : x
  2. Step 2: Convert to fraction form
    323.69/446.59 = 199.24/x
  3. Step 3: Cross multiply
    323.69x = 446.59 × 199.24
  4. Step 4: Simplify right side
    323.69x = 88,978.59
  5. Step 5: Solve for x
    x = 88,978.59/323.69
  6. Step 6: Final answer
    x = 274.89

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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.