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Finding the Fourth Proportional to 173.21, 238.92 and 160.85

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Solution

The fourth proportional to 173.21, 238.92 and 160.85 is: 221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.21 : 238.92 = 160.85 : x
  2. Step 2: Convert to fraction form
    173.21/238.92 = 160.85/x
  3. Step 3: Cross multiply
    173.21x = 238.92 × 160.85
  4. Step 4: Simplify right side
    173.21x = 38,429.09
  5. Step 5: Solve for x
    x = 38,429.09/173.21
  6. Step 6: Final answer
    x = 221.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.