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Finding the Fourth Proportional to 443.86, 668.37 and 329.12

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Solution

The fourth proportional to 443.86, 668.37 and 329.12 is: 495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.86 : 668.37 = 329.12 : x
  2. Step 2: Convert to fraction form
    443.86/668.37 = 329.12/x
  3. Step 3: Cross multiply
    443.86x = 668.37 × 329.12
  4. Step 4: Simplify right side
    443.86x = 219,968.95
  5. Step 5: Solve for x
    x = 219,968.95/443.86
  6. Step 6: Final answer
    x = 495.59

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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.