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Finding the Fourth Proportional to 174.40, 260.33 and 161.73

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Solution

The fourth proportional to 174.40, 260.33 and 161.73 is: 241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.40 : 260.33 = 161.73 : x
  2. Step 2: Convert to fraction form
    174.40/260.33 = 161.73/x
  3. Step 3: Cross multiply
    174.40x = 260.33 × 161.73
  4. Step 4: Simplify right side
    174.40x = 42,103.17
  5. Step 5: Solve for x
    x = 42,103.17/174.40
  6. Step 6: Final answer
    x = 241.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.