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Finding the Fourth Proportional to 167.72, 252.98 and 147.68

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Solution

The fourth proportional to 167.72, 252.98 and 147.68 is: 222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.72 : 252.98 = 147.68 : x
  2. Step 2: Convert to fraction form
    167.72/252.98 = 147.68/x
  3. Step 3: Cross multiply
    167.72x = 252.98 × 147.68
  4. Step 4: Simplify right side
    167.72x = 37,360.09
  5. Step 5: Solve for x
    x = 37,360.09/167.72
  6. Step 6: Final answer
    x = 222.75

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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.