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Finding the Fourth Proportional to 204.93, 304.97 and 197.64

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Solution

The fourth proportional to 204.93, 304.97 and 197.64 is: 294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.93 : 304.97 = 197.64 : x
  2. Step 2: Convert to fraction form
    204.93/304.97 = 197.64/x
  3. Step 3: Cross multiply
    204.93x = 304.97 × 197.64
  4. Step 4: Simplify right side
    204.93x = 60,273.28
  5. Step 5: Solve for x
    x = 60,273.28/204.93
  6. Step 6: Final answer
    x = 294.12

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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.