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Finding the Fourth Proportional to 281.54, 386.31 and 276.68

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Solution

The fourth proportional to 281.54, 386.31 and 276.68 is: 379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.54 : 386.31 = 276.68 : x
  2. Step 2: Convert to fraction form
    281.54/386.31 = 276.68/x
  3. Step 3: Cross multiply
    281.54x = 386.31 × 276.68
  4. Step 4: Simplify right side
    281.54x = 106,884.25
  5. Step 5: Solve for x
    x = 106,884.25/281.54
  6. Step 6: Final answer
    x = 379.64

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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.