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Finding the Fourth Proportional to 359.96, 539.51 and 205.99

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Solution

The fourth proportional to 359.96, 539.51 and 205.99 is: 308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.96 : 539.51 = 205.99 : x
  2. Step 2: Convert to fraction form
    359.96/539.51 = 205.99/x
  3. Step 3: Cross multiply
    359.96x = 539.51 × 205.99
  4. Step 4: Simplify right side
    359.96x = 111,132.06
  5. Step 5: Solve for x
    x = 111,132.06/359.96
  6. Step 6: Final answer
    x = 308.74

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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.