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Finding the Fourth Proportional to 287.93, 396.83 and 217.82

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Solution

The fourth proportional to 287.93, 396.83 and 217.82 is: 300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.93 : 396.83 = 217.82 : x
  2. Step 2: Convert to fraction form
    287.93/396.83 = 217.82/x
  3. Step 3: Cross multiply
    287.93x = 396.83 × 217.82
  4. Step 4: Simplify right side
    287.93x = 86,439.05
  5. Step 5: Solve for x
    x = 86,439.05/287.93
  6. Step 6: Final answer
    x = 300.21

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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.