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Finding the Fourth Proportional to 323.83, 447.09 and 250.01

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Solution

The fourth proportional to 323.83, 447.09 and 250.01 is: 345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.83 : 447.09 = 250.01 : x
  2. Step 2: Convert to fraction form
    323.83/447.09 = 250.01/x
  3. Step 3: Cross multiply
    323.83x = 447.09 × 250.01
  4. Step 4: Simplify right side
    323.83x = 111,776.97
  5. Step 5: Solve for x
    x = 111,776.97/323.83
  6. Step 6: Final answer
    x = 345.17

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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.