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Finding the Fourth Proportional to 359.10, 539.56 and 229.16

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Solution

The fourth proportional to 359.10, 539.56 and 229.16 is: 344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.10 : 539.56 = 229.16 : x
  2. Step 2: Convert to fraction form
    359.10/539.56 = 229.16/x
  3. Step 3: Cross multiply
    359.10x = 539.56 × 229.16
  4. Step 4: Simplify right side
    359.10x = 123,645.57
  5. Step 5: Solve for x
    x = 123,645.57/359.10
  6. Step 6: Final answer
    x = 344.32

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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.