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Finding the Fourth Proportional to 194.60, 266.97 and 180.20

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Solution

The fourth proportional to 194.60, 266.97 and 180.20 is: 247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.60 : 266.97 = 180.20 : x
  2. Step 2: Convert to fraction form
    194.60/266.97 = 180.20/x
  3. Step 3: Cross multiply
    194.60x = 266.97 × 180.20
  4. Step 4: Simplify right side
    194.60x = 48,107.99
  5. Step 5: Solve for x
    x = 48,107.99/194.60
  6. Step 6: Final answer
    x = 247.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.