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Finding the Fourth Proportional to 262.44, 394.11 and 253.80

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Solution

The fourth proportional to 262.44, 394.11 and 253.80 is: 381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.44 : 394.11 = 253.80 : x
  2. Step 2: Convert to fraction form
    262.44/394.11 = 253.80/x
  3. Step 3: Cross multiply
    262.44x = 394.11 × 253.80
  4. Step 4: Simplify right side
    262.44x = 100,025.12
  5. Step 5: Solve for x
    x = 100,025.12/262.44
  6. Step 6: Final answer
    x = 381.14

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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.