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Finding the Fourth Proportional to 167.54, 252.22 and 119.78

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Solution

The fourth proportional to 167.54, 252.22 and 119.78 is: 180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.54 : 252.22 = 119.78 : x
  2. Step 2: Convert to fraction form
    167.54/252.22 = 119.78/x
  3. Step 3: Cross multiply
    167.54x = 252.22 × 119.78
  4. Step 4: Simplify right side
    167.54x = 30,210.31
  5. Step 5: Solve for x
    x = 30,210.31/167.54
  6. Step 6: Final answer
    x = 180.32

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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.