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Finding the Fourth Proportional to 169.75, 235.39 and 160.42

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Solution

The fourth proportional to 169.75, 235.39 and 160.42 is: 222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.75 : 235.39 = 160.42 : x
  2. Step 2: Convert to fraction form
    169.75/235.39 = 160.42/x
  3. Step 3: Cross multiply
    169.75x = 235.39 × 160.42
  4. Step 4: Simplify right side
    169.75x = 37,761.26
  5. Step 5: Solve for x
    x = 37,761.26/169.75
  6. Step 6: Final answer
    x = 222.45

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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.