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Finding the Fourth Proportional to 118.82, 177.99 and 82.82

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Solution

The fourth proportional to 118.82, 177.99 and 82.82 is: 124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.82 : 177.99 = 82.82 : x
  2. Step 2: Convert to fraction form
    118.82/177.99 = 82.82/x
  3. Step 3: Cross multiply
    118.82x = 177.99 × 82.82
  4. Step 4: Simplify right side
    118.82x = 14,741.13
  5. Step 5: Solve for x
    x = 14,741.13/118.82
  6. Step 6: Final answer
    x = 124.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.