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Finding the Fourth Proportional to 359.52, 539.18 and 205.53

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Solution

The fourth proportional to 359.52, 539.18 and 205.53 is: 308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.52 : 539.18 = 205.53 : x
  2. Step 2: Convert to fraction form
    359.52/539.18 = 205.53/x
  3. Step 3: Cross multiply
    359.52x = 539.18 × 205.53
  4. Step 4: Simplify right side
    359.52x = 110,816.64
  5. Step 5: Solve for x
    x = 110,816.64/359.52
  6. Step 6: Final answer
    x = 308.23

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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.