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Finding the Fourth Proportional to 217.72, 327.03 and 210.43

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Solution

The fourth proportional to 217.72, 327.03 and 210.43 is: 316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.72 : 327.03 = 210.43 : x
  2. Step 2: Convert to fraction form
    217.72/327.03 = 210.43/x
  3. Step 3: Cross multiply
    217.72x = 327.03 × 210.43
  4. Step 4: Simplify right side
    217.72x = 68,814.24
  5. Step 5: Solve for x
    x = 68,814.24/217.72
  6. Step 6: Final answer
    x = 316.07

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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.