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Finding the Fourth Proportional to 168.52, 251.34 and 146.60

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Solution

The fourth proportional to 168.52, 251.34 and 146.60 is: 218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.52 : 251.34 = 146.60 : x
  2. Step 2: Convert to fraction form
    168.52/251.34 = 146.60/x
  3. Step 3: Cross multiply
    168.52x = 251.34 × 146.60
  4. Step 4: Simplify right side
    168.52x = 36,846.44
  5. Step 5: Solve for x
    x = 36,846.44/168.52
  6. Step 6: Final answer
    x = 218.65

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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.