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Finding the Fourth Proportional to 194.65, 290.70 and 169.05

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Solution

The fourth proportional to 194.65, 290.70 and 169.05 is: 252.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.65 : 290.70 = 169.05 : x
  2. Step 2: Convert to fraction form
    194.65/290.70 = 169.05/x
  3. Step 3: Cross multiply
    194.65x = 290.70 × 169.05
  4. Step 4: Simplify right side
    194.65x = 49,141.99
  5. Step 5: Solve for x
    x = 49,141.99/194.65
  6. Step 6: Final answer
    x = 252.46

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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.