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Finding the Fourth Proportional to 361.48, 541.86 and 199.12

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Solution

The fourth proportional to 361.48, 541.86 and 199.12 is: 298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.48 : 541.86 = 199.12 : x
  2. Step 2: Convert to fraction form
    361.48/541.86 = 199.12/x
  3. Step 3: Cross multiply
    361.48x = 541.86 × 199.12
  4. Step 4: Simplify right side
    361.48x = 107,895.16
  5. Step 5: Solve for x
    x = 107,895.16/361.48
  6. Step 6: Final answer
    x = 298.48

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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.