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Finding the Fourth Proportional to 493.97, 682.22 and 328.89

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Solution

The fourth proportional to 493.97, 682.22 and 328.89 is: 454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.97 : 682.22 = 328.89 : x
  2. Step 2: Convert to fraction form
    493.97/682.22 = 328.89/x
  3. Step 3: Cross multiply
    493.97x = 682.22 × 328.89
  4. Step 4: Simplify right side
    493.97x = 224,372.96
  5. Step 5: Solve for x
    x = 224,372.96/493.97
  6. Step 6: Final answer
    x = 454.22

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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.