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Finding the Fourth Proportional to 361.03, 541.34 and 231.00

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Solution

The fourth proportional to 361.03, 541.34 and 231.00 is: 346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.03 : 541.34 = 231.00 : x
  2. Step 2: Convert to fraction form
    361.03/541.34 = 231.00/x
  3. Step 3: Cross multiply
    361.03x = 541.34 × 231.00
  4. Step 4: Simplify right side
    361.03x = 125,050.43
  5. Step 5: Solve for x
    x = 125,050.43/361.03
  6. Step 6: Final answer
    x = 346.38

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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.