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Finding the Fourth Proportional to 234.77, 323.77 and 203.67

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Solution

The fourth proportional to 234.77, 323.77 and 203.67 is: 280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.77 : 323.77 = 203.67 : x
  2. Step 2: Convert to fraction form
    234.77/323.77 = 203.67/x
  3. Step 3: Cross multiply
    234.77x = 323.77 × 203.67
  4. Step 4: Simplify right side
    234.77x = 65,942.24
  5. Step 5: Solve for x
    x = 65,942.24/234.77
  6. Step 6: Final answer
    x = 280.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.