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Finding the Fourth Proportional to 234.60, 323.42 and 160.80

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Solution

The fourth proportional to 234.60, 323.42 and 160.80 is: 221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.60 : 323.42 = 160.80 : x
  2. Step 2: Convert to fraction form
    234.60/323.42 = 160.80/x
  3. Step 3: Cross multiply
    234.60x = 323.42 × 160.80
  4. Step 4: Simplify right side
    234.60x = 52,005.13
  5. Step 5: Solve for x
    x = 52,005.13/234.60
  6. Step 6: Final answer
    x = 221.68

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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.