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Finding the Fourth Proportional to 169.80, 234 and 160.68

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Solution

The fourth proportional to 169.80, 234 and 160.68 is: 221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.80 : 234 = 160.68 : x
  2. Step 2: Convert to fraction form
    169.80/234 = 160.68/x
  3. Step 3: Cross multiply
    169.80x = 234 × 160.68
  4. Step 4: Simplify right side
    169.80x = 37,599.12
  5. Step 5: Solve for x
    x = 37,599.12/169.80
  6. Step 6: Final answer
    x = 221.43

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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.