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Finding the Fourth Proportional to 204.80, 288.80 and 204.80

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Solution

The fourth proportional to 204.80, 288.80 and 204.80 is: 288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.80 : 288.80 = 204.80 : x
  2. Step 2: Convert to fraction form
    204.80/288.80 = 204.80/x
  3. Step 3: Cross multiply
    204.80x = 288.80 × 204.80
  4. Step 4: Simplify right side
    204.80x = 59,146.24
  5. Step 5: Solve for x
    x = 59,146.24/204.80
  6. Step 6: Final answer
    x = 288.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.