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Finding the Fourth Proportional to 741.02, 1,111.39 and 193.19

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Solution

The fourth proportional to 741.02, 1,111.39 and 193.19 is: 289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.02 : 1,111.39 = 193.19 : x
  2. Step 2: Convert to fraction form
    741.02/1,111.39 = 193.19/x
  3. Step 3: Cross multiply
    741.02x = 1,111.39 × 193.19
  4. Step 4: Simplify right side
    741.02x = 214,703.39
  5. Step 5: Solve for x
    x = 214,703.39/741.02
  6. Step 6: Final answer
    x = 289.74

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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.