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Finding the Fourth Proportional to 166.78, 228.46 and 161.56

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Solution

The fourth proportional to 166.78, 228.46 and 161.56 is: 221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.78 : 228.46 = 161.56 : x
  2. Step 2: Convert to fraction form
    166.78/228.46 = 161.56/x
  3. Step 3: Cross multiply
    166.78x = 228.46 × 161.56
  4. Step 4: Simplify right side
    166.78x = 36,910.00
  5. Step 5: Solve for x
    x = 36,910.00/166.78
  6. Step 6: Final answer
    x = 221.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.