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Finding the Fourth Proportional to 281.20, 388.04 and 203.76

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Solution

The fourth proportional to 281.20, 388.04 and 203.76 is: 281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.20 : 388.04 = 203.76 : x
  2. Step 2: Convert to fraction form
    281.20/388.04 = 203.76/x
  3. Step 3: Cross multiply
    281.20x = 388.04 × 203.76
  4. Step 4: Simplify right side
    281.20x = 79,067.03
  5. Step 5: Solve for x
    x = 79,067.03/281.20
  6. Step 6: Final answer
    x = 281.18

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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.