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Finding the Fourth Proportional to 173.44, 238.28 and 161.32

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Solution

The fourth proportional to 173.44, 238.28 and 161.32 is: 221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.44 : 238.28 = 161.32 : x
  2. Step 2: Convert to fraction form
    173.44/238.28 = 161.32/x
  3. Step 3: Cross multiply
    173.44x = 238.28 × 161.32
  4. Step 4: Simplify right side
    173.44x = 38,439.33
  5. Step 5: Solve for x
    x = 38,439.33/173.44
  6. Step 6: Final answer
    x = 221.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.