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Finding the Fourth Proportional to 287.43, 396.25 and 204.51

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Solution

The fourth proportional to 287.43, 396.25 and 204.51 is: 281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.43 : 396.25 = 204.51 : x
  2. Step 2: Convert to fraction form
    287.43/396.25 = 204.51/x
  3. Step 3: Cross multiply
    287.43x = 396.25 × 204.51
  4. Step 4: Simplify right side
    287.43x = 81,037.09
  5. Step 5: Solve for x
    x = 81,037.09/287.43
  6. Step 6: Final answer
    x = 281.94

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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.