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Finding the Fourth Proportional to 281.48, 388.64 and 194.12

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Solution

The fourth proportional to 281.48, 388.64 and 194.12 is: 268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.48 : 388.64 = 194.12 : x
  2. Step 2: Convert to fraction form
    281.48/388.64 = 194.12/x
  3. Step 3: Cross multiply
    281.48x = 388.64 × 194.12
  4. Step 4: Simplify right side
    281.48x = 75,442.80
  5. Step 5: Solve for x
    x = 75,442.80/281.48
  6. Step 6: Final answer
    x = 268.02

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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.