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Finding the Fourth Proportional to 168.49, 251.78 and 126.53

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Solution

The fourth proportional to 168.49, 251.78 and 126.53 is: 189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.49 : 251.78 = 126.53 : x
  2. Step 2: Convert to fraction form
    168.49/251.78 = 126.53/x
  3. Step 3: Cross multiply
    168.49x = 251.78 × 126.53
  4. Step 4: Simplify right side
    168.49x = 31,855.83
  5. Step 5: Solve for x
    x = 31,855.83/168.49
  6. Step 6: Final answer
    x = 189.07

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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.