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Finding the Fourth Proportional to 149.11, 223.43 and 118.73

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Solution

The fourth proportional to 149.11, 223.43 and 118.73 is: 177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.11 : 223.43 = 118.73 : x
  2. Step 2: Convert to fraction form
    149.11/223.43 = 118.73/x
  3. Step 3: Cross multiply
    149.11x = 223.43 × 118.73
  4. Step 4: Simplify right side
    149.11x = 26,527.81
  5. Step 5: Solve for x
    x = 26,527.81/149.11
  6. Step 6: Final answer
    x = 177.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.