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Finding the Fourth Proportional to 263.66, 396.60 and 227.81

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Solution

The fourth proportional to 263.66, 396.60 and 227.81 is: 342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.66 : 396.60 = 227.81 : x
  2. Step 2: Convert to fraction form
    263.66/396.60 = 227.81/x
  3. Step 3: Cross multiply
    263.66x = 396.60 × 227.81
  4. Step 4: Simplify right side
    263.66x = 90,349.58
  5. Step 5: Solve for x
    x = 90,349.58/263.66
  6. Step 6: Final answer
    x = 342.68

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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.