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Finding the Fourth Proportional to 329.34, 454.37 and 218.78

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Solution

The fourth proportional to 329.34, 454.37 and 218.78 is: 301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.34 : 454.37 = 218.78 : x
  2. Step 2: Convert to fraction form
    329.34/454.37 = 218.78/x
  3. Step 3: Cross multiply
    329.34x = 454.37 × 218.78
  4. Step 4: Simplify right side
    329.34x = 99,403.70
  5. Step 5: Solve for x
    x = 99,403.70/329.34
  6. Step 6: Final answer
    x = 301.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.