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Finding the Fourth Proportional to 251.33, 346.61 and 163.85

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Solution

The fourth proportional to 251.33, 346.61 and 163.85 is: 225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.33 : 346.61 = 163.85 : x
  2. Step 2: Convert to fraction form
    251.33/346.61 = 163.85/x
  3. Step 3: Cross multiply
    251.33x = 346.61 × 163.85
  4. Step 4: Simplify right side
    251.33x = 56,790.73
  5. Step 5: Solve for x
    x = 56,790.73/251.33
  6. Step 6: Final answer
    x = 225.97

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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.