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Finding the Fourth Proportional to 360.78, 539.96 and 330.81

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Solution

The fourth proportional to 360.78, 539.96 and 330.81 is: 495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.78 : 539.96 = 330.81 : x
  2. Step 2: Convert to fraction form
    360.78/539.96 = 330.81/x
  3. Step 3: Cross multiply
    360.78x = 539.96 × 330.81
  4. Step 4: Simplify right side
    360.78x = 178,622.51
  5. Step 5: Solve for x
    x = 178,622.51/360.78
  6. Step 6: Final answer
    x = 495.10

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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.