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Finding the Fourth Proportional to 217.38, 301.26 and 213.29

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Solution

The fourth proportional to 217.38, 301.26 and 213.29 is: 295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.38 : 301.26 = 213.29 : x
  2. Step 2: Convert to fraction form
    217.38/301.26 = 213.29/x
  3. Step 3: Cross multiply
    217.38x = 301.26 × 213.29
  4. Step 4: Simplify right side
    217.38x = 64,254.24
  5. Step 5: Solve for x
    x = 64,254.24/217.38
  6. Step 6: Final answer
    x = 295.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.