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Finding the Fourth Proportional to 168.63, 232.31 and 160.40

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Solution

The fourth proportional to 168.63, 232.31 and 160.40 is: 220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.63 : 232.31 = 160.40 : x
  2. Step 2: Convert to fraction form
    168.63/232.31 = 160.40/x
  3. Step 3: Cross multiply
    168.63x = 232.31 × 160.40
  4. Step 4: Simplify right side
    168.63x = 37,260.56
  5. Step 5: Solve for x
    x = 37,260.56/168.63
  6. Step 6: Final answer
    x = 220.96

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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.