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Finding the Fourth Proportional to 168.21, 250.83 and 149.99

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Solution

The fourth proportional to 168.21, 250.83 and 149.99 is: 223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.21 : 250.83 = 149.99 : x
  2. Step 2: Convert to fraction form
    168.21/250.83 = 149.99/x
  3. Step 3: Cross multiply
    168.21x = 250.83 × 149.99
  4. Step 4: Simplify right side
    168.21x = 37,620.74
  5. Step 5: Solve for x
    x = 37,620.74/168.21
  6. Step 6: Final answer
    x = 223.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.