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Finding the Fourth Proportional to 287.28, 396.41 and 203.45

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Solution

The fourth proportional to 287.28, 396.41 and 203.45 is: 280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.28 : 396.41 = 203.45 : x
  2. Step 2: Convert to fraction form
    287.28/396.41 = 203.45/x
  3. Step 3: Cross multiply
    287.28x = 396.41 × 203.45
  4. Step 4: Simplify right side
    287.28x = 80,646.62
  5. Step 5: Solve for x
    x = 80,646.62/287.28
  6. Step 6: Final answer
    x = 280.72

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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.