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Finding the Fourth Proportional to 741.23, 1,111.88 and 193.40

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Solution

The fourth proportional to 741.23, 1,111.88 and 193.40 is: 290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.23 : 1,111.88 = 193.40 : x
  2. Step 2: Convert to fraction form
    741.23/1,111.88 = 193.40/x
  3. Step 3: Cross multiply
    741.23x = 1,111.88 × 193.40
  4. Step 4: Simplify right side
    741.23x = 215,039.40
  5. Step 5: Solve for x
    x = 215,039.40/741.23
  6. Step 6: Final answer
    x = 290.11

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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.