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Finding the Fourth Proportional to 323.67, 446.79 and 205.81

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Solution

The fourth proportional to 323.67, 446.79 and 205.81 is: 284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.67 : 446.79 = 205.81 : x
  2. Step 2: Convert to fraction form
    323.67/446.79 = 205.81/x
  3. Step 3: Cross multiply
    323.67x = 446.79 × 205.81
  4. Step 4: Simplify right side
    323.67x = 91,953.85
  5. Step 5: Solve for x
    x = 91,953.85/323.67
  6. Step 6: Final answer
    x = 284.10

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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.