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Finding the Fourth Proportional to 168.68, 232.98 and 119.77

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Solution

The fourth proportional to 168.68, 232.98 and 119.77 is: 165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.68 : 232.98 = 119.77 : x
  2. Step 2: Convert to fraction form
    168.68/232.98 = 119.77/x
  3. Step 3: Cross multiply
    168.68x = 232.98 × 119.77
  4. Step 4: Simplify right side
    168.68x = 27,904.01
  5. Step 5: Solve for x
    x = 27,904.01/168.68
  6. Step 6: Final answer
    x = 165.43

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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.