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Finding the Fourth Proportional to 217.58, 326.01 and 209.15

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Solution

The fourth proportional to 217.58, 326.01 and 209.15 is: 313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.58 : 326.01 = 209.15 : x
  2. Step 2: Convert to fraction form
    217.58/326.01 = 209.15/x
  3. Step 3: Cross multiply
    217.58x = 326.01 × 209.15
  4. Step 4: Simplify right side
    217.58x = 68,184.99
  5. Step 5: Solve for x
    x = 68,184.99/217.58
  6. Step 6: Final answer
    x = 313.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.