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Finding the Fourth Proportional to 455, 682.80 and 198.68

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Solution

The fourth proportional to 455, 682.80 and 198.68 is: 298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    455 : 682.80 = 198.68 : x
  2. Step 2: Convert to fraction form
    455/682.80 = 198.68/x
  3. Step 3: Cross multiply
    455x = 682.80 × 198.68
  4. Step 4: Simplify right side
    455x = 135,658.70
  5. Step 5: Solve for x
    x = 135,658.70/455
  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.