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Finding the Fourth Proportional to 287.59, 396.47 and 217.73

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Solution

The fourth proportional to 287.59, 396.47 and 217.73 is: 300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.59 : 396.47 = 217.73 : x
  2. Step 2: Convert to fraction form
    287.59/396.47 = 217.73/x
  3. Step 3: Cross multiply
    287.59x = 396.47 × 217.73
  4. Step 4: Simplify right side
    287.59x = 86,323.41
  5. Step 5: Solve for x
    x = 86,323.41/287.59
  6. Step 6: Final answer
    x = 300.16

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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.