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Finding the Fourth Proportional to 361.80, 499.17 and 221.77

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Solution

The fourth proportional to 361.80, 499.17 and 221.77 is: 305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.80 : 499.17 = 221.77 : x
  2. Step 2: Convert to fraction form
    361.80/499.17 = 221.77/x
  3. Step 3: Cross multiply
    361.80x = 499.17 × 221.77
  4. Step 4: Simplify right side
    361.80x = 110,697.33
  5. Step 5: Solve for x
    x = 110,697.33/361.80
  6. Step 6: Final answer
    x = 305.97

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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.