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Finding the Fourth Proportional to 825.10, 1,238.01 and 338.26

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Solution

The fourth proportional to 825.10, 1,238.01 and 338.26 is: 507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.10 : 1,238.01 = 338.26 : x
  2. Step 2: Convert to fraction form
    825.10/1,238.01 = 338.26/x
  3. Step 3: Cross multiply
    825.10x = 1,238.01 × 338.26
  4. Step 4: Simplify right side
    825.10x = 418,769.26
  5. Step 5: Solve for x
    x = 418,769.26/825.10
  6. Step 6: Final answer
    x = 507.54

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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.