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Finding the Fourth Proportional to 217.87, 301.25 and 204.10

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Solution

The fourth proportional to 217.87, 301.25 and 204.10 is: 282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.87 : 301.25 = 204.10 : x
  2. Step 2: Convert to fraction form
    217.87/301.25 = 204.10/x
  3. Step 3: Cross multiply
    217.87x = 301.25 × 204.10
  4. Step 4: Simplify right side
    217.87x = 61,485.13
  5. Step 5: Solve for x
    x = 61,485.13/217.87
  6. Step 6: Final answer
    x = 282.21

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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.