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Finding the Fourth Proportional to 286.15, 394.84 and 161.82

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Solution

The fourth proportional to 286.15, 394.84 and 161.82 is: 223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.15 : 394.84 = 161.82 : x
  2. Step 2: Convert to fraction form
    286.15/394.84 = 161.82/x
  3. Step 3: Cross multiply
    286.15x = 394.84 × 161.82
  4. Step 4: Simplify right side
    286.15x = 63,893.01
  5. Step 5: Solve for x
    x = 63,893.01/286.15
  6. Step 6: Final answer
    x = 223.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.