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Finding the Fourth Proportional to 281.26, 387.66 and 193.78

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Solution

The fourth proportional to 281.26, 387.66 and 193.78 is: 267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.26 : 387.66 = 193.78 : x
  2. Step 2: Convert to fraction form
    281.26/387.66 = 193.78/x
  3. Step 3: Cross multiply
    281.26x = 387.66 × 193.78
  4. Step 4: Simplify right side
    281.26x = 75,120.75
  5. Step 5: Solve for x
    x = 75,120.75/281.26
  6. Step 6: Final answer
    x = 267.09

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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.