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Finding the Fourth Proportional to 198.45, 299.54 and 198.45

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Solution

The fourth proportional to 198.45, 299.54 and 198.45 is: 299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.45 : 299.54 = 198.45 : x
  2. Step 2: Convert to fraction form
    198.45/299.54 = 198.45/x
  3. Step 3: Cross multiply
    198.45x = 299.54 × 198.45
  4. Step 4: Simplify right side
    198.45x = 59,443.71
  5. Step 5: Solve for x
    x = 59,443.71/198.45
  6. Step 6: Final answer
    x = 299.54

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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.