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Finding the Fourth Proportional to 245.73, 338.81 and 198.93

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Solution

The fourth proportional to 245.73, 338.81 and 198.93 is: 274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.73 : 338.81 = 198.93 : x
  2. Step 2: Convert to fraction form
    245.73/338.81 = 198.93/x
  3. Step 3: Cross multiply
    245.73x = 338.81 × 198.93
  4. Step 4: Simplify right side
    245.73x = 67,398.48
  5. Step 5: Solve for x
    x = 67,398.48/245.73
  6. Step 6: Final answer
    x = 274.28

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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.