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Finding the Fourth Proportional to 741.81, 1,112.58 and 193.96

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Solution

The fourth proportional to 741.81, 1,112.58 and 193.96 is: 290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.81 : 1,112.58 = 193.96 : x
  2. Step 2: Convert to fraction form
    741.81/1,112.58 = 193.96/x
  3. Step 3: Cross multiply
    741.81x = 1,112.58 × 193.96
  4. Step 4: Simplify right side
    741.81x = 215,796.02
  5. Step 5: Solve for x
    x = 215,796.02/741.81
  6. Step 6: Final answer
    x = 290.90

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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.