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Finding the Fourth Proportional to 398.68, 550.18 and 274.60

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Solution

The fourth proportional to 398.68, 550.18 and 274.60 is: 378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.68 : 550.18 = 274.60 : x
  2. Step 2: Convert to fraction form
    398.68/550.18 = 274.60/x
  3. Step 3: Cross multiply
    398.68x = 550.18 × 274.60
  4. Step 4: Simplify right side
    398.68x = 151,079.43
  5. Step 5: Solve for x
    x = 151,079.43/398.68
  6. Step 6: Final answer
    x = 378.95

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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.