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Finding the Fourth Proportional to 359.95, 539.90 and 203.78

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Solution

The fourth proportional to 359.95, 539.90 and 203.78 is: 305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.95 : 539.90 = 203.78 : x
  2. Step 2: Convert to fraction form
    359.95/539.90 = 203.78/x
  3. Step 3: Cross multiply
    359.95x = 539.90 × 203.78
  4. Step 4: Simplify right side
    359.95x = 110,022.68
  5. Step 5: Solve for x
    x = 110,022.68/359.95
  6. Step 6: Final answer
    x = 305.66

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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.