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Finding the Fourth Proportional to 214.38, 320.97 and 111.44

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Solution

The fourth proportional to 214.38, 320.97 and 111.44 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.38 : 320.97 = 111.44 : x
  2. Step 2: Convert to fraction form
    214.38/320.97 = 111.44/x
  3. Step 3: Cross multiply
    214.38x = 320.97 × 111.44
  4. Step 4: Simplify right side
    214.38x = 35,768.90
  5. Step 5: Solve for x
    x = 35,768.90/214.38
  6. Step 6: Final answer
    x = 166.85

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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.