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Finding the Fourth Proportional to 118.63, 177.82 and 75.33

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Solution

The fourth proportional to 118.63, 177.82 and 75.33 is: 112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.63 : 177.82 = 75.33 : x
  2. Step 2: Convert to fraction form
    118.63/177.82 = 75.33/x
  3. Step 3: Cross multiply
    118.63x = 177.82 × 75.33
  4. Step 4: Simplify right side
    118.63x = 13,394.47
  5. Step 5: Solve for x
    x = 13,394.47/118.63
  6. Step 6: Final answer
    x = 112.91

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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.