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Finding the Fourth Proportional to 198.54, 299.73 and 197.46

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Solution

The fourth proportional to 198.54, 299.73 and 197.46 is: 298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.54 : 299.73 = 197.46 : x
  2. Step 2: Convert to fraction form
    198.54/299.73 = 197.46/x
  3. Step 3: Cross multiply
    198.54x = 299.73 × 197.46
  4. Step 4: Simplify right side
    198.54x = 59,184.69
  5. Step 5: Solve for x
    x = 59,184.69/198.54
  6. Step 6: Final answer
    x = 298.10

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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.