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Finding the Fourth Proportional to 203.56, 279.77 and 197.80

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Solution

The fourth proportional to 203.56, 279.77 and 197.80 is: 271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.56 : 279.77 = 197.80 : x
  2. Step 2: Convert to fraction form
    203.56/279.77 = 197.80/x
  3. Step 3: Cross multiply
    203.56x = 279.77 × 197.80
  4. Step 4: Simplify right side
    203.56x = 55,338.51
  5. Step 5: Solve for x
    x = 55,338.51/203.56
  6. Step 6: Final answer
    x = 271.85

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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.