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Finding the Fourth Proportional to 330.40, 495.27 and 232.90

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Solution

The fourth proportional to 330.40, 495.27 and 232.90 is: 349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.40 : 495.27 = 232.90 : x
  2. Step 2: Convert to fraction form
    330.40/495.27 = 232.90/x
  3. Step 3: Cross multiply
    330.40x = 495.27 × 232.90
  4. Step 4: Simplify right side
    330.40x = 115,348.38
  5. Step 5: Solve for x
    x = 115,348.38/330.40
  6. Step 6: Final answer
    x = 349.12

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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.