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Finding the Fourth Proportional to 398.60, 550.46 and 274.57

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Solution

The fourth proportional to 398.60, 550.46 and 274.57 is: 379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.60 : 550.46 = 274.57 : x
  2. Step 2: Convert to fraction form
    398.60/550.46 = 274.57/x
  3. Step 3: Cross multiply
    398.60x = 550.46 × 274.57
  4. Step 4: Simplify right side
    398.60x = 151,139.80
  5. Step 5: Solve for x
    x = 151,139.80/398.60
  6. Step 6: Final answer
    x = 379.18

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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.