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Finding the Fourth Proportional to 168.55, 251.62 and 142.70

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Solution

The fourth proportional to 168.55, 251.62 and 142.70 is: 213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.55 : 251.62 = 142.70 : x
  2. Step 2: Convert to fraction form
    168.55/251.62 = 142.70/x
  3. Step 3: Cross multiply
    168.55x = 251.62 × 142.70
  4. Step 4: Simplify right side
    168.55x = 35,904.56
  5. Step 5: Solve for x
    x = 35,904.56/168.55
  6. Step 6: Final answer
    x = 213.02

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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.