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Finding the Fourth Proportional to 118.59, 177.71 and 54.33

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Solution

The fourth proportional to 118.59, 177.71 and 54.33 is: 81.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.59 : 177.71 = 54.33 : x
  2. Step 2: Convert to fraction form
    118.59/177.71 = 54.33/x
  3. Step 3: Cross multiply
    118.59x = 177.71 × 54.33
  4. Step 4: Simplify right side
    118.59x = 9,654.71
  5. Step 5: Solve for x
    x = 9,654.71/118.59
  6. Step 6: Final answer
    x = 81.41

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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.