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Finding the Fourth Proportional to 281.46, 389.14 and 194.78

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Solution

The fourth proportional to 281.46, 389.14 and 194.78 is: 269.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.46 : 389.14 = 194.78 : x
  2. Step 2: Convert to fraction form
    281.46/389.14 = 194.78/x
  3. Step 3: Cross multiply
    281.46x = 389.14 × 194.78
  4. Step 4: Simplify right side
    281.46x = 75,796.69
  5. Step 5: Solve for x
    x = 75,796.69/281.46
  6. Step 6: Final answer
    x = 269.30

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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.