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Finding the Fourth Proportional to 203.23, 278.63 and 199.59

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Solution

The fourth proportional to 203.23, 278.63 and 199.59 is: 273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.23 : 278.63 = 199.59 : x
  2. Step 2: Convert to fraction form
    203.23/278.63 = 199.59/x
  3. Step 3: Cross multiply
    203.23x = 278.63 × 199.59
  4. Step 4: Simplify right side
    203.23x = 55,611.76
  5. Step 5: Solve for x
    x = 55,611.76/203.23
  6. Step 6: Final answer
    x = 273.64

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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.