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Finding the Fourth Proportional to 281.35, 386.97 and 225.96

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Solution

The fourth proportional to 281.35, 386.97 and 225.96 is: 310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.35 : 386.97 = 225.96 : x
  2. Step 2: Convert to fraction form
    281.35/386.97 = 225.96/x
  3. Step 3: Cross multiply
    281.35x = 386.97 × 225.96
  4. Step 4: Simplify right side
    281.35x = 87,442.04
  5. Step 5: Solve for x
    x = 87,442.04/281.35
  6. Step 6: Final answer
    x = 310.80

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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.