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Finding the Fourth Proportional to 168.20, 231.60 and 138.58

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Solution

The fourth proportional to 168.20, 231.60 and 138.58 is: 190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.20 : 231.60 = 138.58 : x
  2. Step 2: Convert to fraction form
    168.20/231.60 = 138.58/x
  3. Step 3: Cross multiply
    168.20x = 231.60 × 138.58
  4. Step 4: Simplify right side
    168.20x = 32,095.13
  5. Step 5: Solve for x
    x = 32,095.13/168.20
  6. Step 6: Final answer
    x = 190.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.