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Finding the Fourth Proportional to 442.43, 666.22 and 327.69

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Solution

The fourth proportional to 442.43, 666.22 and 327.69 is: 493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.43 : 666.22 = 327.69 : x
  2. Step 2: Convert to fraction form
    442.43/666.22 = 327.69/x
  3. Step 3: Cross multiply
    442.43x = 666.22 × 327.69
  4. Step 4: Simplify right side
    442.43x = 218,316.53
  5. Step 5: Solve for x
    x = 218,316.53/442.43
  6. Step 6: Final answer
    x = 493.44

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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.