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Finding the Fourth Proportional to 245.31, 338.09 and 238.29

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Solution

The fourth proportional to 245.31, 338.09 and 238.29 is: 328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.31 : 338.09 = 238.29 : x
  2. Step 2: Convert to fraction form
    245.31/338.09 = 238.29/x
  3. Step 3: Cross multiply
    245.31x = 338.09 × 238.29
  4. Step 4: Simplify right side
    245.31x = 80,562.27
  5. Step 5: Solve for x
    x = 80,562.27/245.31
  6. Step 6: Final answer
    x = 328.41

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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.