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Finding the Fourth Proportional to 168.41, 253.77 and 138.65

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Solution

The fourth proportional to 168.41, 253.77 and 138.65 is: 208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.41 : 253.77 = 138.65 : x
  2. Step 2: Convert to fraction form
    168.41/253.77 = 138.65/x
  3. Step 3: Cross multiply
    168.41x = 253.77 × 138.65
  4. Step 4: Simplify right side
    168.41x = 35,183.94
  5. Step 5: Solve for x
    x = 35,183.94/168.41
  6. Step 6: Final answer
    x = 208.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.