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Finding the Fourth Proportional to 167.78, 251.79 and 113.54

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Solution

The fourth proportional to 167.78, 251.79 and 113.54 is: 170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.78 : 251.79 = 113.54 : x
  2. Step 2: Convert to fraction form
    167.78/251.79 = 113.54/x
  3. Step 3: Cross multiply
    167.78x = 251.79 × 113.54
  4. Step 4: Simplify right side
    167.78x = 28,588.24
  5. Step 5: Solve for x
    x = 28,588.24/167.78
  6. Step 6: Final answer
    x = 170.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.