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Finding the Fourth Proportional to 174.56, 260.42 and 166.05

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Solution

The fourth proportional to 174.56, 260.42 and 166.05 is: 247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.56 : 260.42 = 166.05 : x
  2. Step 2: Convert to fraction form
    174.56/260.42 = 166.05/x
  3. Step 3: Cross multiply
    174.56x = 260.42 × 166.05
  4. Step 4: Simplify right side
    174.56x = 43,241.91
  5. Step 5: Solve for x
    x = 43,241.91/174.56
  6. Step 6: Final answer
    x = 247.73

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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.