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Finding the Fourth Proportional to 204.80, 304.80 and 195.20

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Solution

The fourth proportional to 204.80, 304.80 and 195.20 is: 290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.80 : 304.80 = 195.20 : x
  2. Step 2: Convert to fraction form
    204.80/304.80 = 195.20/x
  3. Step 3: Cross multiply
    204.80x = 304.80 × 195.20
  4. Step 4: Simplify right side
    204.80x = 59,496.96
  5. Step 5: Solve for x
    x = 59,496.96/204.80
  6. Step 6: Final answer
    x = 290.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.