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Finding the Fourth Proportional to 490.41, 738.48 and 354.42

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Solution

The fourth proportional to 490.41, 738.48 and 354.42 is: 533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.41 : 738.48 = 354.42 : x
  2. Step 2: Convert to fraction form
    490.41/738.48 = 354.42/x
  3. Step 3: Cross multiply
    490.41x = 738.48 × 354.42
  4. Step 4: Simplify right side
    490.41x = 261,732.08
  5. Step 5: Solve for x
    x = 261,732.08/490.41
  6. Step 6: Final answer
    x = 533.70

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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.