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Finding the Fourth Proportional to 140.11, 193.44 and 105.19

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Solution

The fourth proportional to 140.11, 193.44 and 105.19 is: 145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.11 : 193.44 = 105.19 : x
  2. Step 2: Convert to fraction form
    140.11/193.44 = 105.19/x
  3. Step 3: Cross multiply
    140.11x = 193.44 × 105.19
  4. Step 4: Simplify right side
    140.11x = 20,347.95
  5. Step 5: Solve for x
    x = 20,347.95/140.11
  6. Step 6: Final answer
    x = 145.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.