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Finding the Fourth Proportional to 361.11, 540.75 and 198.93

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Solution

The fourth proportional to 361.11, 540.75 and 198.93 is: 297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.11 : 540.75 = 198.93 : x
  2. Step 2: Convert to fraction form
    361.11/540.75 = 198.93/x
  3. Step 3: Cross multiply
    361.11x = 540.75 × 198.93
  4. Step 4: Simplify right side
    361.11x = 107,571.40
  5. Step 5: Solve for x
    x = 107,571.40/361.11
  6. Step 6: Final answer
    x = 297.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.