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Finding the Fourth Proportional to 281.92, 391.75 and 278.48

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Solution

The fourth proportional to 281.92, 391.75 and 278.48 is: 386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.92 : 391.75 = 278.48 : x
  2. Step 2: Convert to fraction form
    281.92/391.75 = 278.48/x
  3. Step 3: Cross multiply
    281.92x = 391.75 × 278.48
  4. Step 4: Simplify right side
    281.92x = 109,094.54
  5. Step 5: Solve for x
    x = 109,094.54/281.92
  6. Step 6: Final answer
    x = 386.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.