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Finding the Fourth Proportional to 240.12, 359.68 and 194.22

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Solution

The fourth proportional to 240.12, 359.68 and 194.22 is: 290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.12 : 359.68 = 194.22 : x
  2. Step 2: Convert to fraction form
    240.12/359.68 = 194.22/x
  3. Step 3: Cross multiply
    240.12x = 359.68 × 194.22
  4. Step 4: Simplify right side
    240.12x = 69,857.05
  5. Step 5: Solve for x
    x = 69,857.05/240.12
  6. Step 6: Final answer
    x = 290.93

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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.