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Finding the Fourth Proportional to 167.34, 231 and 120.80

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Solution

The fourth proportional to 167.34, 231 and 120.80 is: 166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.34 : 231 = 120.80 : x
  2. Step 2: Convert to fraction form
    167.34/231 = 120.80/x
  3. Step 3: Cross multiply
    167.34x = 231 × 120.80
  4. Step 4: Simplify right side
    167.34x = 27,904.80
  5. Step 5: Solve for x
    x = 27,904.80/167.34
  6. Step 6: Final answer
    x = 166.76

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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.