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Finding the Fourth Proportional to 171.50, 258.21 and 131.27

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Solution

The fourth proportional to 171.50, 258.21 and 131.27 is: 197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.50 : 258.21 = 131.27 : x
  2. Step 2: Convert to fraction form
    171.50/258.21 = 131.27/x
  3. Step 3: Cross multiply
    171.50x = 258.21 × 131.27
  4. Step 4: Simplify right side
    171.50x = 33,893.94
  5. Step 5: Solve for x
    x = 33,893.94/171.50
  6. Step 6: Final answer
    x = 197.64

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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.