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Finding the Fourth Proportional to 217.08, 297.87 and 213.24

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Solution

The fourth proportional to 217.08, 297.87 and 213.24 is: 292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.08 : 297.87 = 213.24 : x
  2. Step 2: Convert to fraction form
    217.08/297.87 = 213.24/x
  3. Step 3: Cross multiply
    217.08x = 297.87 × 213.24
  4. Step 4: Simplify right side
    217.08x = 63,517.80
  5. Step 5: Solve for x
    x = 63,517.80/217.08
  6. Step 6: Final answer
    x = 292.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.