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Finding the Fourth Proportional to 218.73, 301.80 and 166.26

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Solution

The fourth proportional to 218.73, 301.80 and 166.26 is: 229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.73 : 301.80 = 166.26 : x
  2. Step 2: Convert to fraction form
    218.73/301.80 = 166.26/x
  3. Step 3: Cross multiply
    218.73x = 301.80 × 166.26
  4. Step 4: Simplify right side
    218.73x = 50,177.27
  5. Step 5: Solve for x
    x = 50,177.27/218.73
  6. Step 6: Final answer
    x = 229.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.