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Finding the Fourth Proportional to 173.20, 261.24 and 167.73

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Solution

The fourth proportional to 173.20, 261.24 and 167.73 is: 252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.20 : 261.24 = 167.73 : x
  2. Step 2: Convert to fraction form
    173.20/261.24 = 167.73/x
  3. Step 3: Cross multiply
    173.20x = 261.24 × 167.73
  4. Step 4: Simplify right side
    173.20x = 43,817.79
  5. Step 5: Solve for x
    x = 43,817.79/173.20
  6. Step 6: Final answer
    x = 252.99

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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.