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Finding the Fourth Proportional to 359.29, 539 and 115.84

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Solution

The fourth proportional to 359.29, 539 and 115.84 is: 173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.29 : 539 = 115.84 : x
  2. Step 2: Convert to fraction form
    359.29/539 = 115.84/x
  3. Step 3: Cross multiply
    359.29x = 539 × 115.84
  4. Step 4: Simplify right side
    359.29x = 62,437.76
  5. Step 5: Solve for x
    x = 62,437.76/359.29
  6. Step 6: Final answer
    x = 173.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.