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Finding the Fourth Proportional to 203.31, 278.74 and 199.67

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Solution

The fourth proportional to 203.31, 278.74 and 199.67 is: 273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.31 : 278.74 = 199.67 : x
  2. Step 2: Convert to fraction form
    203.31/278.74 = 199.67/x
  3. Step 3: Cross multiply
    203.31x = 278.74 × 199.67
  4. Step 4: Simplify right side
    203.31x = 55,656.02
  5. Step 5: Solve for x
    x = 55,656.02/203.31
  6. Step 6: Final answer
    x = 273.75

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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.