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Finding the Fourth Proportional to 118.19, 177.09 and 104.82

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Solution

The fourth proportional to 118.19, 177.09 and 104.82 is: 157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.19 : 177.09 = 104.82 : x
  2. Step 2: Convert to fraction form
    118.19/177.09 = 104.82/x
  3. Step 3: Cross multiply
    118.19x = 177.09 × 104.82
  4. Step 4: Simplify right side
    118.19x = 18,562.57
  5. Step 5: Solve for x
    x = 18,562.57/118.19
  6. Step 6: Final answer
    x = 157.06

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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.