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Finding the Fourth Proportional to 451.36, 622.56 and 311.26

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Solution

The fourth proportional to 451.36, 622.56 and 311.26 is: 429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.36 : 622.56 = 311.26 : x
  2. Step 2: Convert to fraction form
    451.36/622.56 = 311.26/x
  3. Step 3: Cross multiply
    451.36x = 622.56 × 311.26
  4. Step 4: Simplify right side
    451.36x = 193,778.03
  5. Step 5: Solve for x
    x = 193,778.03/451.36
  6. Step 6: Final answer
    x = 429.32

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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.