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Finding the Fourth Proportional to 490.49, 736.01 and 298.25

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Solution

The fourth proportional to 490.49, 736.01 and 298.25 is: 447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.49 : 736.01 = 298.25 : x
  2. Step 2: Convert to fraction form
    490.49/736.01 = 298.25/x
  3. Step 3: Cross multiply
    490.49x = 736.01 × 298.25
  4. Step 4: Simplify right side
    490.49x = 219,513.49
  5. Step 5: Solve for x
    x = 219,513.49/490.49
  6. Step 6: Final answer
    x = 447.54

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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.