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Finding the Fourth Proportional to 245.73, 338.80 and 198.94

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Solution

The fourth proportional to 245.73, 338.80 and 198.94 is: 274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.73 : 338.80 = 198.94 : x
  2. Step 2: Convert to fraction form
    245.73/338.80 = 198.94/x
  3. Step 3: Cross multiply
    245.73x = 338.80 × 198.94
  4. Step 4: Simplify right side
    245.73x = 67,400.87
  5. Step 5: Solve for x
    x = 67,400.87/245.73
  6. Step 6: Final answer
    x = 274.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.