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Finding the Fourth Proportional to 496.28, 744.41 and 149.61

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Solution

The fourth proportional to 496.28, 744.41 and 149.61 is: 224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.28 : 744.41 = 149.61 : x
  2. Step 2: Convert to fraction form
    496.28/744.41 = 149.61/x
  3. Step 3: Cross multiply
    496.28x = 744.41 × 149.61
  4. Step 4: Simplify right side
    496.28x = 111,371.18
  5. Step 5: Solve for x
    x = 111,371.18/496.28
  6. Step 6: Final answer
    x = 224.41

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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.