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Finding the Fourth Proportional to 496.67, 744.97 and 149.99

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Solution

The fourth proportional to 496.67, 744.97 and 149.99 is: 224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.67 : 744.97 = 149.99 : x
  2. Step 2: Convert to fraction form
    496.67/744.97 = 149.99/x
  3. Step 3: Cross multiply
    496.67x = 744.97 × 149.99
  4. Step 4: Simplify right side
    496.67x = 111,739.54
  5. Step 5: Solve for x
    x = 111,739.54/496.67
  6. Step 6: Final answer
    x = 224.98

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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.