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Finding the Fourth Proportional to 216.72, 323.24 and 213.08

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Solution

The fourth proportional to 216.72, 323.24 and 213.08 is: 317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.72 : 323.24 = 213.08 : x
  2. Step 2: Convert to fraction form
    216.72/323.24 = 213.08/x
  3. Step 3: Cross multiply
    216.72x = 323.24 × 213.08
  4. Step 4: Simplify right side
    216.72x = 68,873.30
  5. Step 5: Solve for x
    x = 68,873.30/216.72
  6. Step 6: Final answer
    x = 317.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.