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Finding the Fourth Proportional to 490.95, 735.90 and 271.34

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Solution

The fourth proportional to 490.95, 735.90 and 271.34 is: 406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.95 : 735.90 = 271.34 : x
  2. Step 2: Convert to fraction form
    490.95/735.90 = 271.34/x
  3. Step 3: Cross multiply
    490.95x = 735.90 × 271.34
  4. Step 4: Simplify right side
    490.95x = 199,675.43
  5. Step 5: Solve for x
    x = 199,675.43/490.95
  6. Step 6: Final answer
    x = 406.71

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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.