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Finding the Fourth Proportional to 193.63, 290.48 and 121.99

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Solution

The fourth proportional to 193.63, 290.48 and 121.99 is: 183.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.63 : 290.48 = 121.99 : x
  2. Step 2: Convert to fraction form
    193.63/290.48 = 121.99/x
  3. Step 3: Cross multiply
    193.63x = 290.48 × 121.99
  4. Step 4: Simplify right side
    193.63x = 35,435.66
  5. Step 5: Solve for x
    x = 35,435.66/193.63
  6. Step 6: Final answer
    x = 183.01

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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.