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Finding the Fourth Proportional to 217.69, 299.97 and 204.53

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Solution

The fourth proportional to 217.69, 299.97 and 204.53 is: 281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.69 : 299.97 = 204.53 : x
  2. Step 2: Convert to fraction form
    217.69/299.97 = 204.53/x
  3. Step 3: Cross multiply
    217.69x = 299.97 × 204.53
  4. Step 4: Simplify right side
    217.69x = 61,351.36
  5. Step 5: Solve for x
    x = 61,351.36/217.69
  6. Step 6: Final answer
    x = 281.83

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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.