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Finding the Fourth Proportional to 323.56, 446.34 and 225.15

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Solution

The fourth proportional to 323.56, 446.34 and 225.15 is: 310.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.56 : 446.34 = 225.15 : x
  2. Step 2: Convert to fraction form
    323.56/446.34 = 225.15/x
  3. Step 3: Cross multiply
    323.56x = 446.34 × 225.15
  4. Step 4: Simplify right side
    323.56x = 100,491.22
  5. Step 5: Solve for x
    x = 100,491.22/323.56
  6. Step 6: Final answer
    x = 310.58

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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.