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Finding the Fourth Proportional to 168.57, 251.75 and 137.77

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Solution

The fourth proportional to 168.57, 251.75 and 137.77 is: 205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.57 : 251.75 = 137.77 : x
  2. Step 2: Convert to fraction form
    168.57/251.75 = 137.77/x
  3. Step 3: Cross multiply
    168.57x = 251.75 × 137.77
  4. Step 4: Simplify right side
    168.57x = 34,683.31
  5. Step 5: Solve for x
    x = 34,683.31/168.57
  6. Step 6: Final answer
    x = 205.75

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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.