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Finding the Fourth Proportional to 359.75, 496.86 and 243.11

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Solution

The fourth proportional to 359.75, 496.86 and 243.11 is: 335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.75 : 496.86 = 243.11 : x
  2. Step 2: Convert to fraction form
    359.75/496.86 = 243.11/x
  3. Step 3: Cross multiply
    359.75x = 496.86 × 243.11
  4. Step 4: Simplify right side
    359.75x = 120,791.63
  5. Step 5: Solve for x
    x = 120,791.63/359.75
  6. Step 6: Final answer
    x = 335.77

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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.