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Finding the Fourth Proportional to 286.27, 394.63 and 203.12

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Solution

The fourth proportional to 286.27, 394.63 and 203.12 is: 280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.27 : 394.63 = 203.12 : x
  2. Step 2: Convert to fraction form
    286.27/394.63 = 203.12/x
  3. Step 3: Cross multiply
    286.27x = 394.63 × 203.12
  4. Step 4: Simplify right side
    286.27x = 80,157.25
  5. Step 5: Solve for x
    x = 80,157.25/286.27
  6. Step 6: Final answer
    x = 280.01

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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.