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Finding the Fourth Proportional to 286.38, 394.88 and 203.51

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Solution

The fourth proportional to 286.38, 394.88 and 203.51 is: 280.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.38 : 394.88 = 203.51 : x
  2. Step 2: Convert to fraction form
    286.38/394.88 = 203.51/x
  3. Step 3: Cross multiply
    286.38x = 394.88 × 203.51
  4. Step 4: Simplify right side
    286.38x = 80,359.04
  5. Step 5: Solve for x
    x = 80,359.04/286.38
  6. Step 6: Final answer
    x = 280.60

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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.