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Finding the Fourth Proportional to 741.23, 1,111.81 and 193.42

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Solution

The fourth proportional to 741.23, 1,111.81 and 193.42 is: 290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.23 : 1,111.81 = 193.42 : x
  2. Step 2: Convert to fraction form
    741.23/1,111.81 = 193.42/x
  3. Step 3: Cross multiply
    741.23x = 1,111.81 × 193.42
  4. Step 4: Simplify right side
    741.23x = 215,040.73
  5. Step 5: Solve for x
    x = 215,040.73/741.23
  6. Step 6: Final answer
    x = 290.12

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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.