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Finding the Fourth Proportional to 281.55, 386.44 and 249.76

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Solution

The fourth proportional to 281.55, 386.44 and 249.76 is: 342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.55 : 386.44 = 249.76 : x
  2. Step 2: Convert to fraction form
    281.55/386.44 = 249.76/x
  3. Step 3: Cross multiply
    281.55x = 386.44 × 249.76
  4. Step 4: Simplify right side
    281.55x = 96,517.25
  5. Step 5: Solve for x
    x = 96,517.25/281.55
  6. Step 6: Final answer
    x = 342.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.