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Finding the Fourth Proportional to 166.80, 228.72 and 161.01

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Solution

The fourth proportional to 166.80, 228.72 and 161.01 is: 220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.80 : 228.72 = 161.01 : x
  2. Step 2: Convert to fraction form
    166.80/228.72 = 161.01/x
  3. Step 3: Cross multiply
    166.80x = 228.72 × 161.01
  4. Step 4: Simplify right side
    166.80x = 36,826.21
  5. Step 5: Solve for x
    x = 36,826.21/166.80
  6. Step 6: Final answer
    x = 220.78

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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.