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Finding the Fourth Proportional to 234.48, 321.30 and 234.12

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Solution

The fourth proportional to 234.48, 321.30 and 234.12 is: 320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.48 : 321.30 = 234.12 : x
  2. Step 2: Convert to fraction form
    234.48/321.30 = 234.12/x
  3. Step 3: Cross multiply
    234.48x = 321.30 × 234.12
  4. Step 4: Simplify right side
    234.48x = 75,222.76
  5. Step 5: Solve for x
    x = 75,222.76/234.48
  6. Step 6: Final answer
    x = 320.81

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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.