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Finding the Fourth Proportional to 194.83, 290.48 and 183.22

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Solution

The fourth proportional to 194.83, 290.48 and 183.22 is: 273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.83 : 290.48 = 183.22 : x
  2. Step 2: Convert to fraction form
    194.83/290.48 = 183.22/x
  3. Step 3: Cross multiply
    194.83x = 290.48 × 183.22
  4. Step 4: Simplify right side
    194.83x = 53,220.10
  5. Step 5: Solve for x
    x = 53,220.10/194.83
  6. Step 6: Final answer
    x = 273.17

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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.