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Finding the Fourth Proportional to 213.97, 320.68 and 92.11

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Solution

The fourth proportional to 213.97, 320.68 and 92.11 is: 138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.97 : 320.68 = 92.11 : x
  2. Step 2: Convert to fraction form
    213.97/320.68 = 92.11/x
  3. Step 3: Cross multiply
    213.97x = 320.68 × 92.11
  4. Step 4: Simplify right side
    213.97x = 29,536.80
  5. Step 5: Solve for x
    x = 29,536.80/213.97
  6. Step 6: Final answer
    x = 138.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.