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Finding the Fourth Proportional to 287.67, 396.57 and 204.75

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Solution

The fourth proportional to 287.67, 396.57 and 204.75 is: 282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.67 : 396.57 = 204.75 : x
  2. Step 2: Convert to fraction form
    287.67/396.57 = 204.75/x
  3. Step 3: Cross multiply
    287.67x = 396.57 × 204.75
  4. Step 4: Simplify right side
    287.67x = 81,194.70
  5. Step 5: Solve for x
    x = 81,194.70/287.67
  6. Step 6: Final answer
    x = 282.25

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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.