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Finding the Fourth Proportional to 490.70, 736.20 and 274.13

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Solution

The fourth proportional to 490.70, 736.20 and 274.13 is: 411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.70 : 736.20 = 274.13 : x
  2. Step 2: Convert to fraction form
    490.70/736.20 = 274.13/x
  3. Step 3: Cross multiply
    490.70x = 736.20 × 274.13
  4. Step 4: Simplify right side
    490.70x = 201,810.83
  5. Step 5: Solve for x
    x = 201,810.83/490.70
  6. Step 6: Final answer
    x = 411.27

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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.