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Finding the Fourth Proportional to 494.38, 681.82 and 328.83

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Solution

The fourth proportional to 494.38, 681.82 and 328.83 is: 453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.38 : 681.82 = 328.83 : x
  2. Step 2: Convert to fraction form
    494.38/681.82 = 328.83/x
  3. Step 3: Cross multiply
    494.38x = 681.82 × 328.83
  4. Step 4: Simplify right side
    494.38x = 224,202.87
  5. Step 5: Solve for x
    x = 224,202.87/494.38
  6. Step 6: Final answer
    x = 453.50

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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.