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Finding the Fourth Proportional to 490.41, 735.89 and 274.11

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Solution

The fourth proportional to 490.41, 735.89 and 274.11 is: 411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.41 : 735.89 = 274.11 : x
  2. Step 2: Convert to fraction form
    490.41/735.89 = 274.11/x
  3. Step 3: Cross multiply
    490.41x = 735.89 × 274.11
  4. Step 4: Simplify right side
    490.41x = 201,713.44
  5. Step 5: Solve for x
    x = 201,713.44/490.41
  6. Step 6: Final answer
    x = 411.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.