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Finding the Fourth Proportional to 168.35, 230.93 and 158.43

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Solution

The fourth proportional to 168.35, 230.93 and 158.43 is: 217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.35 : 230.93 = 158.43 : x
  2. Step 2: Convert to fraction form
    168.35/230.93 = 158.43/x
  3. Step 3: Cross multiply
    168.35x = 230.93 × 158.43
  4. Step 4: Simplify right side
    168.35x = 36,585.81
  5. Step 5: Solve for x
    x = 36,585.81/168.35
  6. Step 6: Final answer
    x = 217.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.