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Finding the Fourth Proportional to 140.81, 194.40 and 112.05

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Solution

The fourth proportional to 140.81, 194.40 and 112.05 is: 154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.81 : 194.40 = 112.05 : x
  2. Step 2: Convert to fraction form
    140.81/194.40 = 112.05/x
  3. Step 3: Cross multiply
    140.81x = 194.40 × 112.05
  4. Step 4: Simplify right side
    140.81x = 21,782.52
  5. Step 5: Solve for x
    x = 21,782.52/140.81
  6. Step 6: Final answer
    x = 154.70

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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.