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Finding the Fourth Proportional to 331.41, 499.39 and 274.90

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Solution

The fourth proportional to 331.41, 499.39 and 274.90 is: 414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.41 : 499.39 = 274.90 : x
  2. Step 2: Convert to fraction form
    331.41/499.39 = 274.90/x
  3. Step 3: Cross multiply
    331.41x = 499.39 × 274.90
  4. Step 4: Simplify right side
    331.41x = 137,282.31
  5. Step 5: Solve for x
    x = 137,282.31/331.41
  6. Step 6: Final answer
    x = 414.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.