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Finding the Fourth Proportional to 174.37, 262.42 and 131.26

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Solution

The fourth proportional to 174.37, 262.42 and 131.26 is: 197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.37 : 262.42 = 131.26 : x
  2. Step 2: Convert to fraction form
    174.37/262.42 = 131.26/x
  3. Step 3: Cross multiply
    174.37x = 262.42 × 131.26
  4. Step 4: Simplify right side
    174.37x = 34,443.94
  5. Step 5: Solve for x
    x = 34,443.94/174.37
  6. Step 6: Final answer
    x = 197.54

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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.