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Finding the Fourth Proportional to 330.36, 495.40 and 137.92

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Solution

The fourth proportional to 330.36, 495.40 and 137.92 is: 206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.36 : 495.40 = 137.92 : x
  2. Step 2: Convert to fraction form
    330.36/495.40 = 137.92/x
  3. Step 3: Cross multiply
    330.36x = 495.40 × 137.92
  4. Step 4: Simplify right side
    330.36x = 68,325.57
  5. Step 5: Solve for x
    x = 68,325.57/330.36
  6. Step 6: Final answer
    x = 206.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.