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Finding the Fourth Proportional to 490.59, 735.11 and 271.04

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Solution

The fourth proportional to 490.59, 735.11 and 271.04 is: 406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.59 : 735.11 = 271.04 : x
  2. Step 2: Convert to fraction form
    490.59/735.11 = 271.04/x
  3. Step 3: Cross multiply
    490.59x = 735.11 × 271.04
  4. Step 4: Simplify right side
    490.59x = 199,239.18
  5. Step 5: Solve for x
    x = 199,239.18/490.59
  6. Step 6: Final answer
    x = 406.12

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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.