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Finding the Fourth Proportional to 287.56, 396.92 and 204.86

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Solution

The fourth proportional to 287.56, 396.92 and 204.86 is: 282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.56 : 396.92 = 204.86 : x
  2. Step 2: Convert to fraction form
    287.56/396.92 = 204.86/x
  3. Step 3: Cross multiply
    287.56x = 396.92 × 204.86
  4. Step 4: Simplify right side
    287.56x = 81,313.03
  5. Step 5: Solve for x
    x = 81,313.03/287.56
  6. Step 6: Final answer
    x = 282.77

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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.