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Finding the Fourth Proportional to 234.42, 321.72 and 220.68

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Solution

The fourth proportional to 234.42, 321.72 and 220.68 is: 302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.42 : 321.72 = 220.68 : x
  2. Step 2: Convert to fraction form
    234.42/321.72 = 220.68/x
  3. Step 3: Cross multiply
    234.42x = 321.72 × 220.68
  4. Step 4: Simplify right side
    234.42x = 70,997.17
  5. Step 5: Solve for x
    x = 70,997.17/234.42
  6. Step 6: Final answer
    x = 302.86

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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.