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Finding the Fourth Proportional to 204.60, 287.26 and 204.60

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Solution

The fourth proportional to 204.60, 287.26 and 204.60 is: 287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.60 : 287.26 = 204.60 : x
  2. Step 2: Convert to fraction form
    204.60/287.26 = 204.60/x
  3. Step 3: Cross multiply
    204.60x = 287.26 × 204.60
  4. Step 4: Simplify right side
    204.60x = 58,773.40
  5. Step 5: Solve for x
    x = 58,773.40/204.60
  6. Step 6: Final answer
    x = 287.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.