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Finding the Fourth Proportional to 174.56, 260.57 and 161.89

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Solution

The fourth proportional to 174.56, 260.57 and 161.89 is: 241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.56 : 260.57 = 161.89 : x
  2. Step 2: Convert to fraction form
    174.56/260.57 = 161.89/x
  3. Step 3: Cross multiply
    174.56x = 260.57 × 161.89
  4. Step 4: Simplify right side
    174.56x = 42,183.68
  5. Step 5: Solve for x
    x = 42,183.68/174.56
  6. Step 6: Final answer
    x = 241.66

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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.