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Finding the Fourth Proportional to 263.85, 364.21 and 198.55

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Solution

The fourth proportional to 263.85, 364.21 and 198.55 is: 274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.85 : 364.21 = 198.55 : x
  2. Step 2: Convert to fraction form
    263.85/364.21 = 198.55/x
  3. Step 3: Cross multiply
    263.85x = 364.21 × 198.55
  4. Step 4: Simplify right side
    263.85x = 72,312.92
  5. Step 5: Solve for x
    x = 72,312.92/263.85
  6. Step 6: Final answer
    x = 274.07

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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.