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Finding the Fourth Proportional to 415.28, 622.77 and 155.27

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Solution

The fourth proportional to 415.28, 622.77 and 155.27 is: 232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.28 : 622.77 = 155.27 : x
  2. Step 2: Convert to fraction form
    415.28/622.77 = 155.27/x
  3. Step 3: Cross multiply
    415.28x = 622.77 × 155.27
  4. Step 4: Simplify right side
    415.28x = 96,694.38
  5. Step 5: Solve for x
    x = 96,694.38/415.28
  6. Step 6: Final answer
    x = 232.84

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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.