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Finding the Fourth Proportional to 323.01, 445.51 and 229.65

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Solution

The fourth proportional to 323.01, 445.51 and 229.65 is: 316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.01 : 445.51 = 229.65 : x
  2. Step 2: Convert to fraction form
    323.01/445.51 = 229.65/x
  3. Step 3: Cross multiply
    323.01x = 445.51 × 229.65
  4. Step 4: Simplify right side
    323.01x = 102,311.37
  5. Step 5: Solve for x
    x = 102,311.37/323.01
  6. Step 6: Final answer
    x = 316.75

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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.