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Finding the Fourth Proportional to 217.38, 321.48 and 217.38

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Solution

The fourth proportional to 217.38, 321.48 and 217.38 is: 321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.38 : 321.48 = 217.38 : x
  2. Step 2: Convert to fraction form
    217.38/321.48 = 217.38/x
  3. Step 3: Cross multiply
    217.38x = 321.48 × 217.38
  4. Step 4: Simplify right side
    217.38x = 69,883.32
  5. Step 5: Solve for x
    x = 69,883.32/217.38
  6. Step 6: Final answer
    x = 321.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.