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Finding the Fourth Proportional to 167.70, 231.21 and 128.82

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Solution

The fourth proportional to 167.70, 231.21 and 128.82 is: 177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.70 : 231.21 = 128.82 : x
  2. Step 2: Convert to fraction form
    167.70/231.21 = 128.82/x
  3. Step 3: Cross multiply
    167.70x = 231.21 × 128.82
  4. Step 4: Simplify right side
    167.70x = 29,784.47
  5. Step 5: Solve for x
    x = 29,784.47/167.70
  6. Step 6: Final answer
    x = 177.61

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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.