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Finding the Fourth Proportional to 168.36, 233.27 and 165.74

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Solution

The fourth proportional to 168.36, 233.27 and 165.74 is: 229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.36 : 233.27 = 165.74 : x
  2. Step 2: Convert to fraction form
    168.36/233.27 = 165.74/x
  3. Step 3: Cross multiply
    168.36x = 233.27 × 165.74
  4. Step 4: Simplify right side
    168.36x = 38,660.17
  5. Step 5: Solve for x
    x = 38,660.17/168.36
  6. Step 6: Final answer
    x = 229.63

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.