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Finding the Fourth Proportional to 447.76, 617.08 and 323.21

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Solution

The fourth proportional to 447.76, 617.08 and 323.21 is: 445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.76 : 617.08 = 323.21 : x
  2. Step 2: Convert to fraction form
    447.76/617.08 = 323.21/x
  3. Step 3: Cross multiply
    447.76x = 617.08 × 323.21
  4. Step 4: Simplify right side
    447.76x = 199,446.43
  5. Step 5: Solve for x
    x = 199,446.43/447.76
  6. Step 6: Final answer
    x = 445.43

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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.