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Finding the Fourth Proportional to 167.62, 252.35 and 131.25

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Solution

The fourth proportional to 167.62, 252.35 and 131.25 is: 197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.62 : 252.35 = 131.25 : x
  2. Step 2: Convert to fraction form
    167.62/252.35 = 131.25/x
  3. Step 3: Cross multiply
    167.62x = 252.35 × 131.25
  4. Step 4: Simplify right side
    167.62x = 33,120.31
  5. Step 5: Solve for x
    x = 33,120.31/167.62
  6. Step 6: Final answer
    x = 197.60

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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.