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Finding the Fourth Proportional to 166.86, 229.05 and 164.79

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Solution

The fourth proportional to 166.86, 229.05 and 164.79 is: 226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.86 : 229.05 = 164.79 : x
  2. Step 2: Convert to fraction form
    166.86/229.05 = 164.79/x
  3. Step 3: Cross multiply
    166.86x = 229.05 × 164.79
  4. Step 4: Simplify right side
    166.86x = 37,745.15
  5. Step 5: Solve for x
    x = 37,745.15/166.86
  6. Step 6: Final answer
    x = 226.21

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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.