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Finding the Fourth Proportional to 234.55, 321.86 and 230.10

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Solution

The fourth proportional to 234.55, 321.86 and 230.10 is: 315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.55 : 321.86 = 230.10 : x
  2. Step 2: Convert to fraction form
    234.55/321.86 = 230.10/x
  3. Step 3: Cross multiply
    234.55x = 321.86 × 230.10
  4. Step 4: Simplify right side
    234.55x = 74,059.99
  5. Step 5: Solve for x
    x = 74,059.99/234.55
  6. Step 6: Final answer
    x = 315.75

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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.