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Finding the Fourth Proportional to 360.94, 540.42 and 330.70

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Solution

The fourth proportional to 360.94, 540.42 and 330.70 is: 495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.94 : 540.42 = 330.70 : x
  2. Step 2: Convert to fraction form
    360.94/540.42 = 330.70/x
  3. Step 3: Cross multiply
    360.94x = 540.42 × 330.70
  4. Step 4: Simplify right side
    360.94x = 178,716.89
  5. Step 5: Solve for x
    x = 178,716.89/360.94
  6. Step 6: Final answer
    x = 495.14

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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.