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Finding the Fourth Proportional to 227.00, 339.96 and 111.53

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Solution

The fourth proportional to 227.00, 339.96 and 111.53 is: 167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.00 : 339.96 = 111.53 : x
  2. Step 2: Convert to fraction form
    227.00/339.96 = 111.53/x
  3. Step 3: Cross multiply
    227.00x = 339.96 × 111.53
  4. Step 4: Simplify right side
    227.00x = 37,914.04
  5. Step 5: Solve for x
    x = 37,914.04/227.00
  6. Step 6: Final answer
    x = 167.03

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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.