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Finding the Fourth Proportional to 493.98, 681.18 and 353.82

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Solution

The fourth proportional to 493.98, 681.18 and 353.82 is: 487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.98 : 681.18 = 353.82 : x
  2. Step 2: Convert to fraction form
    493.98/681.18 = 353.82/x
  3. Step 3: Cross multiply
    493.98x = 681.18 × 353.82
  4. Step 4: Simplify right side
    493.98x = 241,015.11
  5. Step 5: Solve for x
    x = 241,015.11/493.98
  6. Step 6: Final answer
    x = 487.90

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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.