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Finding the Fourth Proportional to 361.99, 499.55 and 196.21

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Solution

The fourth proportional to 361.99, 499.55 and 196.21 is: 270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.99 : 499.55 = 196.21 : x
  2. Step 2: Convert to fraction form
    361.99/499.55 = 196.21/x
  3. Step 3: Cross multiply
    361.99x = 499.55 × 196.21
  4. Step 4: Simplify right side
    361.99x = 98,016.71
  5. Step 5: Solve for x
    x = 98,016.71/361.99
  6. Step 6: Final answer
    x = 270.77

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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.