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Finding the Fourth Proportional to 198.91, 300.06 and 198.51

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Solution

The fourth proportional to 198.91, 300.06 and 198.51 is: 299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.91 : 300.06 = 198.51 : x
  2. Step 2: Convert to fraction form
    198.91/300.06 = 198.51/x
  3. Step 3: Cross multiply
    198.91x = 300.06 × 198.51
  4. Step 4: Simplify right side
    198.91x = 59,564.91
  5. Step 5: Solve for x
    x = 59,564.91/198.91
  6. Step 6: Final answer
    x = 299.46

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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.