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Finding the Fourth Proportional to 194.67, 293.09 and 140.94

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Solution

The fourth proportional to 194.67, 293.09 and 140.94 is: 212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.67 : 293.09 = 140.94 : x
  2. Step 2: Convert to fraction form
    194.67/293.09 = 140.94/x
  3. Step 3: Cross multiply
    194.67x = 293.09 × 140.94
  4. Step 4: Simplify right side
    194.67x = 41,307.40
  5. Step 5: Solve for x
    x = 41,307.40/194.67
  6. Step 6: Final answer
    x = 212.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.