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Finding the Fourth Proportional to 180.18, 268.83 and 149.94

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Solution

The fourth proportional to 180.18, 268.83 and 149.94 is: 223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.18 : 268.83 = 149.94 : x
  2. Step 2: Convert to fraction form
    180.18/268.83 = 149.94/x
  3. Step 3: Cross multiply
    180.18x = 268.83 × 149.94
  4. Step 4: Simplify right side
    180.18x = 40,308.37
  5. Step 5: Solve for x
    x = 40,308.37/180.18
  6. Step 6: Final answer
    x = 223.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.