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Finding the Fourth Proportional to 207.72, 287.88 and 204.60

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Solution

The fourth proportional to 207.72, 287.88 and 204.60 is: 283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.72 : 287.88 = 204.60 : x
  2. Step 2: Convert to fraction form
    207.72/287.88 = 204.60/x
  3. Step 3: Cross multiply
    207.72x = 287.88 × 204.60
  4. Step 4: Simplify right side
    207.72x = 58,900.25
  5. Step 5: Solve for x
    x = 58,900.25/207.72
  6. Step 6: Final answer
    x = 283.56

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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.