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Finding the Fourth Proportional to 447.39, 617.63 and 323.19

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Solution

The fourth proportional to 447.39, 617.63 and 323.19 is: 446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.39 : 617.63 = 323.19 : x
  2. Step 2: Convert to fraction form
    447.39/617.63 = 323.19/x
  3. Step 3: Cross multiply
    447.39x = 617.63 × 323.19
  4. Step 4: Simplify right side
    447.39x = 199,610.22
  5. Step 5: Solve for x
    x = 199,610.22/447.39
  6. Step 6: Final answer
    x = 446.17

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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.