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Finding the Fourth Proportional to 330.05, 495.34 and 232.75

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Solution

The fourth proportional to 330.05, 495.34 and 232.75 is: 349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.05 : 495.34 = 232.75 : x
  2. Step 2: Convert to fraction form
    330.05/495.34 = 232.75/x
  3. Step 3: Cross multiply
    330.05x = 495.34 × 232.75
  4. Step 4: Simplify right side
    330.05x = 115,289.68
  5. Step 5: Solve for x
    x = 115,289.68/330.05
  6. Step 6: Final answer
    x = 349.31

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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.