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Finding the Fourth Proportional to 217.24, 326.10 and 215.08

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Solution

The fourth proportional to 217.24, 326.10 and 215.08 is: 322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.24 : 326.10 = 215.08 : x
  2. Step 2: Convert to fraction form
    217.24/326.10 = 215.08/x
  3. Step 3: Cross multiply
    217.24x = 326.10 × 215.08
  4. Step 4: Simplify right side
    217.24x = 70,137.59
  5. Step 5: Solve for x
    x = 70,137.59/217.24
  6. Step 6: Final answer
    x = 322.86

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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.