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Finding the Fourth Proportional to 263.96, 364.50 and 198.35

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Solution

The fourth proportional to 263.96, 364.50 and 198.35 is: 273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.96 : 364.50 = 198.35 : x
  2. Step 2: Convert to fraction form
    263.96/364.50 = 198.35/x
  3. Step 3: Cross multiply
    263.96x = 364.50 × 198.35
  4. Step 4: Simplify right side
    263.96x = 72,296.75
  5. Step 5: Solve for x
    x = 72,296.75/263.96
  6. Step 6: Final answer
    x = 273.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.