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Finding the Fourth Proportional to 281.41, 419.22 and 274.25

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Solution

The fourth proportional to 281.41, 419.22 and 274.25 is: 408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.41 : 419.22 = 274.25 : x
  2. Step 2: Convert to fraction form
    281.41/419.22 = 274.25/x
  3. Step 3: Cross multiply
    281.41x = 419.22 × 274.25
  4. Step 4: Simplify right side
    281.41x = 114,972.13
  5. Step 5: Solve for x
    x = 114,972.13/281.41
  6. Step 6: Final answer
    x = 408.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.