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Finding the Fourth Proportional to 825.36, 1,238.01 and 209.08

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Solution

The fourth proportional to 825.36, 1,238.01 and 209.08 is: 313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.36 : 1,238.01 = 209.08 : x
  2. Step 2: Convert to fraction form
    825.36/1,238.01 = 209.08/x
  3. Step 3: Cross multiply
    825.36x = 1,238.01 × 209.08
  4. Step 4: Simplify right side
    825.36x = 258,843.13
  5. Step 5: Solve for x
    x = 258,843.13/825.36
  6. Step 6: Final answer
    x = 313.61

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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.