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Finding the Fourth Proportional to 490.97, 736.59 and 247.43

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Solution

The fourth proportional to 490.97, 736.59 and 247.43 is: 371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.97 : 736.59 = 247.43 : x
  2. Step 2: Convert to fraction form
    490.97/736.59 = 247.43/x
  3. Step 3: Cross multiply
    490.97x = 736.59 × 247.43
  4. Step 4: Simplify right side
    490.97x = 182,254.46
  5. Step 5: Solve for x
    x = 182,254.46/490.97
  6. Step 6: Final answer
    x = 371.21

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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.