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Finding the Fourth Proportional to 361.67, 499.12 and 214.43

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Solution

The fourth proportional to 361.67, 499.12 and 214.43 is: 295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.67 : 499.12 = 214.43 : x
  2. Step 2: Convert to fraction form
    361.67/499.12 = 214.43/x
  3. Step 3: Cross multiply
    361.67x = 499.12 × 214.43
  4. Step 4: Simplify right side
    361.67x = 107,023.27
  5. Step 5: Solve for x
    x = 107,023.27/361.67
  6. Step 6: Final answer
    x = 295.91

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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.