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Finding the Fourth Proportional to 359.42, 496.02 and 343.02

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Solution

The fourth proportional to 359.42, 496.02 and 343.02 is: 473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.42 : 496.02 = 343.02 : x
  2. Step 2: Convert to fraction form
    359.42/496.02 = 343.02/x
  3. Step 3: Cross multiply
    359.42x = 496.02 × 343.02
  4. Step 4: Simplify right side
    359.42x = 170,144.78
  5. Step 5: Solve for x
    x = 170,144.78/359.42
  6. Step 6: Final answer
    x = 473.39

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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.