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Finding the Fourth Proportional to 415.89, 622.22 and 278.28

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Solution

The fourth proportional to 415.89, 622.22 and 278.28 is: 416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.89 : 622.22 = 278.28 : x
  2. Step 2: Convert to fraction form
    415.89/622.22 = 278.28/x
  3. Step 3: Cross multiply
    415.89x = 622.22 × 278.28
  4. Step 4: Simplify right side
    415.89x = 173,149.99
  5. Step 5: Solve for x
    x = 173,149.99/415.89
  6. Step 6: Final answer
    x = 416.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.