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Finding the Fourth Proportional to 204.32, 304.36 and 196.97

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Solution

The fourth proportional to 204.32, 304.36 and 196.97 is: 293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.32 : 304.36 = 196.97 : x
  2. Step 2: Convert to fraction form
    204.32/304.36 = 196.97/x
  3. Step 3: Cross multiply
    204.32x = 304.36 × 196.97
  4. Step 4: Simplify right side
    204.32x = 59,947.77
  5. Step 5: Solve for x
    x = 59,947.77/204.32
  6. Step 6: Final answer
    x = 293.40

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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.