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Finding the Fourth Proportional to 140.96, 194.64 and 111.98

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Solution

The fourth proportional to 140.96, 194.64 and 111.98 is: 154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.96 : 194.64 = 111.98 : x
  2. Step 2: Convert to fraction form
    140.96/194.64 = 111.98/x
  3. Step 3: Cross multiply
    140.96x = 194.64 × 111.98
  4. Step 4: Simplify right side
    140.96x = 21,795.79
  5. Step 5: Solve for x
    x = 21,795.79/140.96
  6. Step 6: Final answer
    x = 154.62

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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.