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Finding the Fourth Proportional to 234.53, 323.74 and 209.92

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Solution

The fourth proportional to 234.53, 323.74 and 209.92 is: 289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.53 : 323.74 = 209.92 : x
  2. Step 2: Convert to fraction form
    234.53/323.74 = 209.92/x
  3. Step 3: Cross multiply
    234.53x = 323.74 × 209.92
  4. Step 4: Simplify right side
    234.53x = 67,958.99
  5. Step 5: Solve for x
    x = 67,958.99/234.53
  6. Step 6: Final answer
    x = 289.77

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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.