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Finding the Fourth Proportional to 281.43, 388.92 and 198.50

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Solution

The fourth proportional to 281.43, 388.92 and 198.50 is: 274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.43 : 388.92 = 198.50 : x
  2. Step 2: Convert to fraction form
    281.43/388.92 = 198.50/x
  3. Step 3: Cross multiply
    281.43x = 388.92 × 198.50
  4. Step 4: Simplify right side
    281.43x = 77,198.68
  5. Step 5: Solve for x
    x = 77,198.68/281.43
  6. Step 6: Final answer
    x = 274.31

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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.