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Finding the Fourth Proportional to 168.18, 233.27 and 161.70

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Solution

The fourth proportional to 168.18, 233.27 and 161.70 is: 224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.18 : 233.27 = 161.70 : x
  2. Step 2: Convert to fraction form
    168.18/233.27 = 161.70/x
  3. Step 3: Cross multiply
    168.18x = 233.27 × 161.70
  4. Step 4: Simplify right side
    168.18x = 37,719.76
  5. Step 5: Solve for x
    x = 37,719.76/168.18
  6. Step 6: Final answer
    x = 224.28

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Why These Related Problems?

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