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Finding the Fourth Proportional to 174.11, 262.46 and 171.68

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Solution

The fourth proportional to 174.11, 262.46 and 171.68 is: 258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.11 : 262.46 = 171.68 : x
  2. Step 2: Convert to fraction form
    174.11/262.46 = 171.68/x
  3. Step 3: Cross multiply
    174.11x = 262.46 × 171.68
  4. Step 4: Simplify right side
    174.11x = 45,058.25
  5. Step 5: Solve for x
    x = 45,058.25/174.11
  6. Step 6: Final answer
    x = 258.80

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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.