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Finding the Fourth Proportional to 281.94, 391.62 and 274.26

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Solution

The fourth proportional to 281.94, 391.62 and 274.26 is: 380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.94 : 391.62 = 274.26 : x
  2. Step 2: Convert to fraction form
    281.94/391.62 = 274.26/x
  3. Step 3: Cross multiply
    281.94x = 391.62 × 274.26
  4. Step 4: Simplify right side
    281.94x = 107,405.70
  5. Step 5: Solve for x
    x = 107,405.70/281.94
  6. Step 6: Final answer
    x = 380.95

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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.