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Finding the Fourth Proportional to 203.34, 278.75 and 199.66

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Solution

The fourth proportional to 203.34, 278.75 and 199.66 is: 273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.34 : 278.75 = 199.66 : x
  2. Step 2: Convert to fraction form
    203.34/278.75 = 199.66/x
  3. Step 3: Cross multiply
    203.34x = 278.75 × 199.66
  4. Step 4: Simplify right side
    203.34x = 55,655.23
  5. Step 5: Solve for x
    x = 55,655.23/203.34
  6. Step 6: Final answer
    x = 273.71

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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.