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Finding the Fourth Proportional to 327.26, 447.62 and 322.40

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Solution

The fourth proportional to 327.26, 447.62 and 322.40 is: 440.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.26 : 447.62 = 322.40 : x
  2. Step 2: Convert to fraction form
    327.26/447.62 = 322.40/x
  3. Step 3: Cross multiply
    327.26x = 447.62 × 322.40
  4. Step 4: Simplify right side
    327.26x = 144,312.20
  5. Step 5: Solve for x
    x = 144,312.20/327.26
  6. Step 6: Final answer
    x = 440.97

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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.