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Finding the Fourth Proportional to 168.31, 231.64 and 121.60

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Solution

The fourth proportional to 168.31, 231.64 and 121.60 is: 167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.31 : 231.64 = 121.60 : x
  2. Step 2: Convert to fraction form
    168.31/231.64 = 121.60/x
  3. Step 3: Cross multiply
    168.31x = 231.64 × 121.60
  4. Step 4: Simplify right side
    168.31x = 28,167.42
  5. Step 5: Solve for x
    x = 28,167.42/168.31
  6. Step 6: Final answer
    x = 167.35

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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.