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Finding the Fourth Proportional to 398.90, 550.79 and 274.97

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Solution

The fourth proportional to 398.90, 550.79 and 274.97 is: 379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.90 : 550.79 = 274.97 : x
  2. Step 2: Convert to fraction form
    398.90/550.79 = 274.97/x
  3. Step 3: Cross multiply
    398.90x = 550.79 × 274.97
  4. Step 4: Simplify right side
    398.90x = 151,446.60
  5. Step 5: Solve for x
    x = 151,446.60/398.90
  6. Step 6: Final answer
    x = 379.67

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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.