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Finding the Fourth Proportional to 415.18, 622.84 and 198.76

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Solution

The fourth proportional to 415.18, 622.84 and 198.76 is: 298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.18 : 622.84 = 198.76 : x
  2. Step 2: Convert to fraction form
    415.18/622.84 = 198.76/x
  3. Step 3: Cross multiply
    415.18x = 622.84 × 198.76
  4. Step 4: Simplify right side
    415.18x = 123,795.68
  5. Step 5: Solve for x
    x = 123,795.68/415.18
  6. Step 6: Final answer
    x = 298.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.