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Finding the Fourth Proportional to 262.72, 395.68 and 199.04

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Solution

The fourth proportional to 262.72, 395.68 and 199.04 is: 299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.72 : 395.68 = 199.04 : x
  2. Step 2: Convert to fraction form
    262.72/395.68 = 199.04/x
  3. Step 3: Cross multiply
    262.72x = 395.68 × 199.04
  4. Step 4: Simplify right side
    262.72x = 78,756.15
  5. Step 5: Solve for x
    x = 78,756.15/262.72
  6. Step 6: Final answer
    x = 299.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.