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Finding the Fourth Proportional to 168.42, 254.05 and 158.43

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Solution

The fourth proportional to 168.42, 254.05 and 158.43 is: 238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.42 : 254.05 = 158.43 : x
  2. Step 2: Convert to fraction form
    168.42/254.05 = 158.43/x
  3. Step 3: Cross multiply
    168.42x = 254.05 × 158.43
  4. Step 4: Simplify right side
    168.42x = 40,249.14
  5. Step 5: Solve for x
    x = 40,249.14/168.42
  6. Step 6: Final answer
    x = 238.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.