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Finding the Fourth Proportional to 234.54, 321.53 and 230.76

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Solution

The fourth proportional to 234.54, 321.53 and 230.76 is: 316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.54 : 321.53 = 230.76 : x
  2. Step 2: Convert to fraction form
    234.54/321.53 = 230.76/x
  3. Step 3: Cross multiply
    234.54x = 321.53 × 230.76
  4. Step 4: Simplify right side
    234.54x = 74,195.11
  5. Step 5: Solve for x
    x = 74,195.11/234.54
  6. Step 6: Final answer
    x = 316.34

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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.