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Finding the Fourth Proportional to 359.22, 539.31 and 213.24

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Solution

The fourth proportional to 359.22, 539.31 and 213.24 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.22 : 539.31 = 213.24 : x
  2. Step 2: Convert to fraction form
    359.22/539.31 = 213.24/x
  3. Step 3: Cross multiply
    359.22x = 539.31 × 213.24
  4. Step 4: Simplify right side
    359.22x = 115,002.46
  5. Step 5: Solve for x
    x = 115,002.46/359.22
  6. Step 6: Final answer
    x = 320.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.