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Finding the Fourth Proportional to 359.21, 537.77 and 229.36

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Solution

The fourth proportional to 359.21, 537.77 and 229.36 is: 343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.21 : 537.77 = 229.36 : x
  2. Step 2: Convert to fraction form
    359.21/537.77 = 229.36/x
  3. Step 3: Cross multiply
    359.21x = 537.77 × 229.36
  4. Step 4: Simplify right side
    359.21x = 123,342.93
  5. Step 5: Solve for x
    x = 123,342.93/359.21
  6. Step 6: Final answer
    x = 343.37

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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.