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Finding the Fourth Proportional to 166.20, 229.20 and 161.40

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Solution

The fourth proportional to 166.20, 229.20 and 161.40 is: 222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.20 : 229.20 = 161.40 : x
  2. Step 2: Convert to fraction form
    166.20/229.20 = 161.40/x
  3. Step 3: Cross multiply
    166.20x = 229.20 × 161.40
  4. Step 4: Simplify right side
    166.20x = 36,992.88
  5. Step 5: Solve for x
    x = 36,992.88/166.20
  6. Step 6: Final answer
    x = 222.58

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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.