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Finding the Fourth Proportional to 204.36, 304.74 and 195.92

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Solution

The fourth proportional to 204.36, 304.74 and 195.92 is: 292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.36 : 304.74 = 195.92 : x
  2. Step 2: Convert to fraction form
    204.36/304.74 = 195.92/x
  3. Step 3: Cross multiply
    204.36x = 304.74 × 195.92
  4. Step 4: Simplify right side
    204.36x = 59,704.66
  5. Step 5: Solve for x
    x = 59,704.66/204.36
  6. Step 6: Final answer
    x = 292.15

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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.