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Finding the Fourth Proportional to 286.91, 396.20 and 271.56

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Solution

The fourth proportional to 286.91, 396.20 and 271.56 is: 375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.91 : 396.20 = 271.56 : x
  2. Step 2: Convert to fraction form
    286.91/396.20 = 271.56/x
  3. Step 3: Cross multiply
    286.91x = 396.20 × 271.56
  4. Step 4: Simplify right side
    286.91x = 107,590.71
  5. Step 5: Solve for x
    x = 107,590.71/286.91
  6. Step 6: Final answer
    x = 375.00

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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.