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Finding the Fourth Proportional to 203.68, 282.19 and 199.36

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Solution

The fourth proportional to 203.68, 282.19 and 199.36 is: 276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.68 : 282.19 = 199.36 : x
  2. Step 2: Convert to fraction form
    203.68/282.19 = 199.36/x
  3. Step 3: Cross multiply
    203.68x = 282.19 × 199.36
  4. Step 4: Simplify right side
    203.68x = 56,257.40
  5. Step 5: Solve for x
    x = 56,257.40/203.68
  6. Step 6: Final answer
    x = 276.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.