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Finding the Fourth Proportional to 323.03, 445.83 and 205.10

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Solution

The fourth proportional to 323.03, 445.83 and 205.10 is: 283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.03 : 445.83 = 205.10 : x
  2. Step 2: Convert to fraction form
    323.03/445.83 = 205.10/x
  3. Step 3: Cross multiply
    323.03x = 445.83 × 205.10
  4. Step 4: Simplify right side
    323.03x = 91,439.73
  5. Step 5: Solve for x
    x = 91,439.73/323.03
  6. Step 6: Final answer
    x = 283.07

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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.