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Finding the Fourth Proportional to 194.23, 290.94 and 133.48

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Solution

The fourth proportional to 194.23, 290.94 and 133.48 is: 199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.23 : 290.94 = 133.48 : x
  2. Step 2: Convert to fraction form
    194.23/290.94 = 133.48/x
  3. Step 3: Cross multiply
    194.23x = 290.94 × 133.48
  4. Step 4: Simplify right side
    194.23x = 38,834.67
  5. Step 5: Solve for x
    x = 38,834.67/194.23
  6. Step 6: Final answer
    x = 199.94

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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.