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Finding the Fourth Proportional to 203.84, 282.76 and 198.56

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Solution

The fourth proportional to 203.84, 282.76 and 198.56 is: 275.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.84 : 282.76 = 198.56 : x
  2. Step 2: Convert to fraction form
    203.84/282.76 = 198.56/x
  3. Step 3: Cross multiply
    203.84x = 282.76 × 198.56
  4. Step 4: Simplify right side
    203.84x = 56,144.83
  5. Step 5: Solve for x
    x = 56,144.83/203.84
  6. Step 6: Final answer
    x = 275.44

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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.