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Finding the Fourth Proportional to 359.89, 539.55 and 331.06

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Solution

The fourth proportional to 359.89, 539.55 and 331.06 is: 496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.89 : 539.55 = 331.06 : x
  2. Step 2: Convert to fraction form
    359.89/539.55 = 331.06/x
  3. Step 3: Cross multiply
    359.89x = 539.55 × 331.06
  4. Step 4: Simplify right side
    359.89x = 178,620.83
  5. Step 5: Solve for x
    x = 178,620.83/359.89
  6. Step 6: Final answer
    x = 496.32

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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.