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Finding the Fourth Proportional to 207.17, 287.88 and 204.92

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Solution

The fourth proportional to 207.17, 287.88 and 204.92 is: 284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.17 : 287.88 = 204.92 : x
  2. Step 2: Convert to fraction form
    207.17/287.88 = 204.92/x
  3. Step 3: Cross multiply
    207.17x = 287.88 × 204.92
  4. Step 4: Simplify right side
    207.17x = 58,991.35
  5. Step 5: Solve for x
    x = 58,991.35/207.17
  6. Step 6: Final answer
    x = 284.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.