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Finding the Fourth Proportional to 286.14, 394.85 and 161.81

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Solution

The fourth proportional to 286.14, 394.85 and 161.81 is: 223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.14 : 394.85 = 161.81 : x
  2. Step 2: Convert to fraction form
    286.14/394.85 = 161.81/x
  3. Step 3: Cross multiply
    286.14x = 394.85 × 161.81
  4. Step 4: Simplify right side
    286.14x = 63,889.02
  5. Step 5: Solve for x
    x = 63,889.02/286.14
  6. Step 6: Final answer
    x = 223.28

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Why These Related Problems?

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