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Finding the Fourth Proportional to 359.43, 494.98 and 343.03

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Solution

The fourth proportional to 359.43, 494.98 and 343.03 is: 472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.43 : 494.98 = 343.03 : x
  2. Step 2: Convert to fraction form
    359.43/494.98 = 343.03/x
  3. Step 3: Cross multiply
    359.43x = 494.98 × 343.03
  4. Step 4: Simplify right side
    359.43x = 169,790.89
  5. Step 5: Solve for x
    x = 169,790.89/359.43
  6. Step 6: Final answer
    x = 472.39

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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.