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Finding the Fourth Proportional to 174.30, 262.74 and 166.98

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Solution

The fourth proportional to 174.30, 262.74 and 166.98 is: 251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.30 : 262.74 = 166.98 : x
  2. Step 2: Convert to fraction form
    174.30/262.74 = 166.98/x
  3. Step 3: Cross multiply
    174.30x = 262.74 × 166.98
  4. Step 4: Simplify right side
    174.30x = 43,872.33
  5. Step 5: Solve for x
    x = 43,872.33/174.30
  6. Step 6: Final answer
    x = 251.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.