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Finding the Fourth Proportional to 234.25, 323.35 and 209.64

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Solution

The fourth proportional to 234.25, 323.35 and 209.64 is: 289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.25 : 323.35 = 209.64 : x
  2. Step 2: Convert to fraction form
    234.25/323.35 = 209.64/x
  3. Step 3: Cross multiply
    234.25x = 323.35 × 209.64
  4. Step 4: Simplify right side
    234.25x = 67,788.16
  5. Step 5: Solve for x
    x = 67,788.16/234.25
  6. Step 6: Final answer
    x = 289.39

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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.