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Finding the Fourth Proportional to 281.81, 386.17 and 277.97

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Solution

The fourth proportional to 281.81, 386.17 and 277.97 is: 380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.81 : 386.17 = 277.97 : x
  2. Step 2: Convert to fraction form
    281.81/386.17 = 277.97/x
  3. Step 3: Cross multiply
    281.81x = 386.17 × 277.97
  4. Step 4: Simplify right side
    281.81x = 107,341.05
  5. Step 5: Solve for x
    x = 107,341.05/281.81
  6. Step 6: Final answer
    x = 380.90

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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.