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Finding the Fourth Proportional to 198.58, 272.23 and 198.34

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Solution

The fourth proportional to 198.58, 272.23 and 198.34 is: 271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.58 : 272.23 = 198.34 : x
  2. Step 2: Convert to fraction form
    198.58/272.23 = 198.34/x
  3. Step 3: Cross multiply
    198.58x = 272.23 × 198.34
  4. Step 4: Simplify right side
    198.58x = 53,994.10
  5. Step 5: Solve for x
    x = 53,994.10/198.58
  6. Step 6: Final answer
    x = 271.90

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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.