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Finding the Fourth Proportional to 331.87, 457.41 and 238.36

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Solution

The fourth proportional to 331.87, 457.41 and 238.36 is: 328.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.87 : 457.41 = 238.36 : x
  2. Step 2: Convert to fraction form
    331.87/457.41 = 238.36/x
  3. Step 3: Cross multiply
    331.87x = 457.41 × 238.36
  4. Step 4: Simplify right side
    331.87x = 109,028.25
  5. Step 5: Solve for x
    x = 109,028.25/331.87
  6. Step 6: Final answer
    x = 328.53

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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.