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Finding the Fourth Proportional to 359.67, 496.20 and 210.27

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Solution

The fourth proportional to 359.67, 496.20 and 210.27 is: 290.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.67 : 496.20 = 210.27 : x
  2. Step 2: Convert to fraction form
    359.67/496.20 = 210.27/x
  3. Step 3: Cross multiply
    359.67x = 496.20 × 210.27
  4. Step 4: Simplify right side
    359.67x = 104,335.97
  5. Step 5: Solve for x
    x = 104,335.97/359.67
  6. Step 6: Final answer
    x = 290.09

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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.