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Finding the Fourth Proportional to 359.43, 499.34 and 356.05

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Solution

The fourth proportional to 359.43, 499.34 and 356.05 is: 494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.43 : 499.34 = 356.05 : x
  2. Step 2: Convert to fraction form
    359.43/499.34 = 356.05/x
  3. Step 3: Cross multiply
    359.43x = 499.34 × 356.05
  4. Step 4: Simplify right side
    359.43x = 177,790.01
  5. Step 5: Solve for x
    x = 177,790.01/359.43
  6. Step 6: Final answer
    x = 494.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.