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Finding the Fourth Proportional to 829.36, 1,244.04 and 252.28

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Solution

The fourth proportional to 829.36, 1,244.04 and 252.28 is: 378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.36 : 1,244.04 = 252.28 : x
  2. Step 2: Convert to fraction form
    829.36/1,244.04 = 252.28/x
  3. Step 3: Cross multiply
    829.36x = 1,244.04 × 252.28
  4. Step 4: Simplify right side
    829.36x = 313,846.41
  5. Step 5: Solve for x
    x = 313,846.41/829.36
  6. Step 6: Final answer
    x = 378.42

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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.