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Finding the Fourth Proportional to 323.42, 446.64 and 205.61

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Solution

The fourth proportional to 323.42, 446.64 and 205.61 is: 283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.42 : 446.64 = 205.61 : x
  2. Step 2: Convert to fraction form
    323.42/446.64 = 205.61/x
  3. Step 3: Cross multiply
    323.42x = 446.64 × 205.61
  4. Step 4: Simplify right side
    323.42x = 91,834.83
  5. Step 5: Solve for x
    x = 91,834.83/323.42
  6. Step 6: Final answer
    x = 283.95

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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.