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Finding the Fourth Proportional to 441.31, 664.57 and 326.55

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Solution

The fourth proportional to 441.31, 664.57 and 326.55 is: 491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.31 : 664.57 = 326.55 : x
  2. Step 2: Convert to fraction form
    441.31/664.57 = 326.55/x
  3. Step 3: Cross multiply
    441.31x = 664.57 × 326.55
  4. Step 4: Simplify right side
    441.31x = 217,014.52
  5. Step 5: Solve for x
    x = 217,014.52/441.31
  6. Step 6: Final answer
    x = 491.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.