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Finding the Fourth Proportional to 167.38, 230.87 and 155.73

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Solution

The fourth proportional to 167.38, 230.87 and 155.73 is: 214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.38 : 230.87 = 155.73 : x
  2. Step 2: Convert to fraction form
    167.38/230.87 = 155.73/x
  3. Step 3: Cross multiply
    167.38x = 230.87 × 155.73
  4. Step 4: Simplify right side
    167.38x = 35,953.39
  5. Step 5: Solve for x
    x = 35,953.39/167.38
  6. Step 6: Final answer
    x = 214.80

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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.