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Finding the Fourth Proportional to 286.04, 394.72 and 161.69

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Solution

The fourth proportional to 286.04, 394.72 and 161.69 is: 223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.04 : 394.72 = 161.69 : x
  2. Step 2: Convert to fraction form
    286.04/394.72 = 161.69/x
  3. Step 3: Cross multiply
    286.04x = 394.72 × 161.69
  4. Step 4: Simplify right side
    286.04x = 63,822.86
  5. Step 5: Solve for x
    x = 63,822.86/286.04
  6. Step 6: Final answer
    x = 223.12

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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.