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Finding the Fourth Proportional to 118.45, 177.54 and 54.19

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Solution

The fourth proportional to 118.45, 177.54 and 54.19 is: 81.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.45 : 177.54 = 54.19 : x
  2. Step 2: Convert to fraction form
    118.45/177.54 = 54.19/x
  3. Step 3: Cross multiply
    118.45x = 177.54 × 54.19
  4. Step 4: Simplify right side
    118.45x = 9,620.25
  5. Step 5: Solve for x
    x = 9,620.25/118.45
  6. Step 6: Final answer
    x = 81.22

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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.