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Finding the Fourth Proportional to 194.02, 290.87 and 72.21

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Solution

The fourth proportional to 194.02, 290.87 and 72.21 is: 108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.02 : 290.87 = 72.21 : x
  2. Step 2: Convert to fraction form
    194.02/290.87 = 72.21/x
  3. Step 3: Cross multiply
    194.02x = 290.87 × 72.21
  4. Step 4: Simplify right side
    194.02x = 21,003.72
  5. Step 5: Solve for x
    x = 21,003.72/194.02
  6. Step 6: Final answer
    x = 108.26

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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.