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Finding the Fourth Proportional to 194.85, 290.96 and 170.55

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Solution

The fourth proportional to 194.85, 290.96 and 170.55 is: 254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.85 : 290.96 = 170.55 : x
  2. Step 2: Convert to fraction form
    194.85/290.96 = 170.55/x
  3. Step 3: Cross multiply
    194.85x = 290.96 × 170.55
  4. Step 4: Simplify right side
    194.85x = 49,623.23
  5. Step 5: Solve for x
    x = 49,623.23/194.85
  6. Step 6: Final answer
    x = 254.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.