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Finding the Fourth Proportional to 264.08, 395.94 and 199.40

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Solution

The fourth proportional to 264.08, 395.94 and 199.40 is: 298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.08 : 395.94 = 199.40 : x
  2. Step 2: Convert to fraction form
    264.08/395.94 = 199.40/x
  3. Step 3: Cross multiply
    264.08x = 395.94 × 199.40
  4. Step 4: Simplify right side
    264.08x = 78,950.44
  5. Step 5: Solve for x
    x = 78,950.44/264.08
  6. Step 6: Final answer
    x = 298.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.