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Finding the Fourth Proportional to 204.80, 309.60 and 204.80

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Solution

The fourth proportional to 204.80, 309.60 and 204.80 is: 309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.80 : 309.60 = 204.80 : x
  2. Step 2: Convert to fraction form
    204.80/309.60 = 204.80/x
  3. Step 3: Cross multiply
    204.80x = 309.60 × 204.80
  4. Step 4: Simplify right side
    204.80x = 63,406.08
  5. Step 5: Solve for x
    x = 63,406.08/204.80
  6. Step 6: Final answer
    x = 309.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.