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Finding the Fourth Proportional to 325.23, 445.69 and 294.09

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Solution

The fourth proportional to 325.23, 445.69 and 294.09 is: 403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.23 : 445.69 = 294.09 : x
  2. Step 2: Convert to fraction form
    325.23/445.69 = 294.09/x
  3. Step 3: Cross multiply
    325.23x = 445.69 × 294.09
  4. Step 4: Simplify right side
    325.23x = 131,072.97
  5. Step 5: Solve for x
    x = 131,072.97/325.23
  6. Step 6: Final answer
    x = 403.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.