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Finding the Fourth Proportional to 361.97, 499.56 and 231.05

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Solution

The fourth proportional to 361.97, 499.56 and 231.05 is: 318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.97 : 499.56 = 231.05 : x
  2. Step 2: Convert to fraction form
    361.97/499.56 = 231.05/x
  3. Step 3: Cross multiply
    361.97x = 499.56 × 231.05
  4. Step 4: Simplify right side
    361.97x = 115,423.34
  5. Step 5: Solve for x
    x = 115,423.34/361.97
  6. Step 6: Final answer
    x = 318.88

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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.