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Finding the Fourth Proportional to 146.11, 218.86 and 118.78

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Solution

The fourth proportional to 146.11, 218.86 and 118.78 is: 177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.11 : 218.86 = 118.78 : x
  2. Step 2: Convert to fraction form
    146.11/218.86 = 118.78/x
  3. Step 3: Cross multiply
    146.11x = 218.86 × 118.78
  4. Step 4: Simplify right side
    146.11x = 25,996.19
  5. Step 5: Solve for x
    x = 25,996.19/146.11
  6. Step 6: Final answer
    x = 177.92

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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.