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Finding the Fourth Proportional to 359.06, 539.40 and 196.70

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Solution

The fourth proportional to 359.06, 539.40 and 196.70 is: 295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.06 : 539.40 = 196.70 : x
  2. Step 2: Convert to fraction form
    359.06/539.40 = 196.70/x
  3. Step 3: Cross multiply
    359.06x = 539.40 × 196.70
  4. Step 4: Simplify right side
    359.06x = 106,099.98
  5. Step 5: Solve for x
    x = 106,099.98/359.06
  6. Step 6: Final answer
    x = 295.49

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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.