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Finding the Fourth Proportional to 415.67, 622.22 and 361.67

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Solution

The fourth proportional to 415.67, 622.22 and 361.67 is: 541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.67 : 622.22 = 361.67 : x
  2. Step 2: Convert to fraction form
    415.67/622.22 = 361.67/x
  3. Step 3: Cross multiply
    415.67x = 622.22 × 361.67
  4. Step 4: Simplify right side
    415.67x = 225,033.39
  5. Step 5: Solve for x
    x = 225,033.39/415.67
  6. Step 6: Final answer
    x = 541.38

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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.