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Finding the Fourth Proportional to 217.43, 328.09 and 209.00

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Solution

The fourth proportional to 217.43, 328.09 and 209.00 is: 315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.43 : 328.09 = 209.00 : x
  2. Step 2: Convert to fraction form
    217.43/328.09 = 209.00/x
  3. Step 3: Cross multiply
    217.43x = 328.09 × 209.00
  4. Step 4: Simplify right side
    217.43x = 68,568.65
  5. Step 5: Solve for x
    x = 68,568.65/217.43
  6. Step 6: Final answer
    x = 315.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.