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Finding the Fourth Proportional to 323.25, 445.92 and 234.58

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Solution

The fourth proportional to 323.25, 445.92 and 234.58 is: 323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.25 : 445.92 = 234.58 : x
  2. Step 2: Convert to fraction form
    323.25/445.92 = 234.58/x
  3. Step 3: Cross multiply
    323.25x = 445.92 × 234.58
  4. Step 4: Simplify right side
    323.25x = 104,603.91
  5. Step 5: Solve for x
    x = 104,603.91/323.25
  6. Step 6: Final answer
    x = 323.60

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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.