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Finding the Fourth Proportional to 171.80, 237.20 and 122.32

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Solution

The fourth proportional to 171.80, 237.20 and 122.32 is: 168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.80 : 237.20 = 122.32 : x
  2. Step 2: Convert to fraction form
    171.80/237.20 = 122.32/x
  3. Step 3: Cross multiply
    171.80x = 237.20 × 122.32
  4. Step 4: Simplify right side
    171.80x = 29,014.30
  5. Step 5: Solve for x
    x = 29,014.30/171.80
  6. Step 6: Final answer
    x = 168.88

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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.