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Finding the Fourth Proportional to 238.60, 327.77 and 194.80

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Solution

The fourth proportional to 238.60, 327.77 and 194.80 is: 267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.60 : 327.77 = 194.80 : x
  2. Step 2: Convert to fraction form
    238.60/327.77 = 194.80/x
  3. Step 3: Cross multiply
    238.60x = 327.77 × 194.80
  4. Step 4: Simplify right side
    238.60x = 63,849.60
  5. Step 5: Solve for x
    x = 63,849.60/238.60
  6. Step 6: Final answer
    x = 267.60

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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.