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Finding the Fourth Proportional to 455.20, 682.42 and 198.88

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Solution

The fourth proportional to 455.20, 682.42 and 198.88 is: 298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.20 : 682.42 = 198.88 : x
  2. Step 2: Convert to fraction form
    455.20/682.42 = 198.88/x
  3. Step 3: Cross multiply
    455.20x = 682.42 × 198.88
  4. Step 4: Simplify right side
    455.20x = 135,719.69
  5. Step 5: Solve for x
    x = 135,719.69/455.20
  6. Step 6: Final answer
    x = 298.15

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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.