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Finding the Fourth Proportional to 217.38, 297.69 and 216.12

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Solution

The fourth proportional to 217.38, 297.69 and 216.12 is: 295.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.38 : 297.69 = 216.12 : x
  2. Step 2: Convert to fraction form
    217.38/297.69 = 216.12/x
  3. Step 3: Cross multiply
    217.38x = 297.69 × 216.12
  4. Step 4: Simplify right side
    217.38x = 64,336.76
  5. Step 5: Solve for x
    x = 64,336.76/217.38
  6. Step 6: Final answer
    x = 295.96

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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.