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Finding the Fourth Proportional to 281.58, 388.42 and 194.10

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Solution

The fourth proportional to 281.58, 388.42 and 194.10 is: 267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.58 : 388.42 = 194.10 : x
  2. Step 2: Convert to fraction form
    281.58/388.42 = 194.10/x
  3. Step 3: Cross multiply
    281.58x = 388.42 × 194.10
  4. Step 4: Simplify right side
    281.58x = 75,392.32
  5. Step 5: Solve for x
    x = 75,392.32/281.58
  6. Step 6: Final answer
    x = 267.75

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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.