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Finding the Fourth Proportional to 270.82, 408.28 and 253.21

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Solution

The fourth proportional to 270.82, 408.28 and 253.21 is: 381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.82 : 408.28 = 253.21 : x
  2. Step 2: Convert to fraction form
    270.82/408.28 = 253.21/x
  3. Step 3: Cross multiply
    270.82x = 408.28 × 253.21
  4. Step 4: Simplify right side
    270.82x = 103,380.58
  5. Step 5: Solve for x
    x = 103,380.58/270.82
  6. Step 6: Final answer
    x = 381.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.