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Finding the Fourth Proportional to 359.78, 496.46 and 219.83

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Solution

The fourth proportional to 359.78, 496.46 and 219.83 is: 303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.78 : 496.46 = 219.83 : x
  2. Step 2: Convert to fraction form
    359.78/496.46 = 219.83/x
  3. Step 3: Cross multiply
    359.78x = 496.46 × 219.83
  4. Step 4: Simplify right side
    359.78x = 109,136.80
  5. Step 5: Solve for x
    x = 109,136.80/359.78
  6. Step 6: Final answer
    x = 303.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.