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Finding the Fourth Proportional to 286.23, 396.81 and 270.64

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Solution

The fourth proportional to 286.23, 396.81 and 270.64 is: 375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.23 : 396.81 = 270.64 : x
  2. Step 2: Convert to fraction form
    286.23/396.81 = 270.64/x
  3. Step 3: Cross multiply
    286.23x = 396.81 × 270.64
  4. Step 4: Simplify right side
    286.23x = 107,393.90
  5. Step 5: Solve for x
    x = 107,393.90/286.23
  6. Step 6: Final answer
    x = 375.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.