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Finding the Fourth Proportional to 359.27, 495.79 and 219.39

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Solution

The fourth proportional to 359.27, 495.79 and 219.39 is: 302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.27 : 495.79 = 219.39 : x
  2. Step 2: Convert to fraction form
    359.27/495.79 = 219.39/x
  3. Step 3: Cross multiply
    359.27x = 495.79 × 219.39
  4. Step 4: Simplify right side
    359.27x = 108,771.37
  5. Step 5: Solve for x
    x = 108,771.37/359.27
  6. Step 6: Final answer
    x = 302.76

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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.