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Finding the Fourth Proportional to 168.46, 251.42 and 146.39

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Solution

The fourth proportional to 168.46, 251.42 and 146.39 is: 218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.46 : 251.42 = 146.39 : x
  2. Step 2: Convert to fraction form
    168.46/251.42 = 146.39/x
  3. Step 3: Cross multiply
    168.46x = 251.42 × 146.39
  4. Step 4: Simplify right side
    168.46x = 36,803.38
  5. Step 5: Solve for x
    x = 36,803.38/168.46
  6. Step 6: Final answer
    x = 218.47

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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.