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Finding the Fourth Proportional to 361.72, 499.26 and 245.08

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Solution

The fourth proportional to 361.72, 499.26 and 245.08 is: 338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.72 : 499.26 = 245.08 : x
  2. Step 2: Convert to fraction form
    361.72/499.26 = 245.08/x
  3. Step 3: Cross multiply
    361.72x = 499.26 × 245.08
  4. Step 4: Simplify right side
    361.72x = 122,358.64
  5. Step 5: Solve for x
    x = 122,358.64/361.72
  6. Step 6: Final answer
    x = 338.27

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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.