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Finding the Fourth Proportional to 166.03, 226.70 and 163.60

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Solution

The fourth proportional to 166.03, 226.70 and 163.60 is: 223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.03 : 226.70 = 163.60 : x
  2. Step 2: Convert to fraction form
    166.03/226.70 = 163.60/x
  3. Step 3: Cross multiply
    166.03x = 226.70 × 163.60
  4. Step 4: Simplify right side
    166.03x = 37,088.12
  5. Step 5: Solve for x
    x = 37,088.12/166.03
  6. Step 6: Final answer
    x = 223.38

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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.