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Finding the Fourth Proportional to 441.96, 664.12 and 225.68

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Solution

The fourth proportional to 441.96, 664.12 and 225.68 is: 339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.96 : 664.12 = 225.68 : x
  2. Step 2: Convert to fraction form
    441.96/664.12 = 225.68/x
  3. Step 3: Cross multiply
    441.96x = 664.12 × 225.68
  4. Step 4: Simplify right side
    441.96x = 149,878.60
  5. Step 5: Solve for x
    x = 149,878.60/441.96
  6. Step 6: Final answer
    x = 339.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.