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Finding the Fourth Proportional to 238.56, 359.21 and 166.88

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Solution

The fourth proportional to 238.56, 359.21 and 166.88 is: 251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.56 : 359.21 = 166.88 : x
  2. Step 2: Convert to fraction form
    238.56/359.21 = 166.88/x
  3. Step 3: Cross multiply
    238.56x = 359.21 × 166.88
  4. Step 4: Simplify right side
    238.56x = 59,942.33
  5. Step 5: Solve for x
    x = 59,942.33/238.56
  6. Step 6: Final answer
    x = 251.27

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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.