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Finding the Fourth Proportional to 323.01, 445.56 and 229.74

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Solution

The fourth proportional to 323.01, 445.56 and 229.74 is: 316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.01 : 445.56 = 229.74 : x
  2. Step 2: Convert to fraction form
    323.01/445.56 = 229.74/x
  3. Step 3: Cross multiply
    323.01x = 445.56 × 229.74
  4. Step 4: Simplify right side
    323.01x = 102,362.95
  5. Step 5: Solve for x
    x = 102,362.95/323.01
  6. Step 6: Final answer
    x = 316.90

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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.