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Finding the Fourth Proportional to 359.43, 496.04 and 202.09

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Solution

The fourth proportional to 359.43, 496.04 and 202.09 is: 278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.43 : 496.04 = 202.09 : x
  2. Step 2: Convert to fraction form
    359.43/496.04 = 202.09/x
  3. Step 3: Cross multiply
    359.43x = 496.04 × 202.09
  4. Step 4: Simplify right side
    359.43x = 100,244.72
  5. Step 5: Solve for x
    x = 100,244.72/359.43
  6. Step 6: Final answer
    x = 278.90

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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.