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Finding the Fourth Proportional to 361.20, 542.16 and 198.96

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Solution

The fourth proportional to 361.20, 542.16 and 198.96 is: 298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.20 : 542.16 = 198.96 : x
  2. Step 2: Convert to fraction form
    361.20/542.16 = 198.96/x
  3. Step 3: Cross multiply
    361.20x = 542.16 × 198.96
  4. Step 4: Simplify right side
    361.20x = 107,868.15
  5. Step 5: Solve for x
    x = 107,868.15/361.20
  6. Step 6: Final answer
    x = 298.64

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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.