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Finding the Fourth Proportional to 844.50, 1,266.67 and 228.27

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Solution

The fourth proportional to 844.50, 1,266.67 and 228.27 is: 342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.50 : 1,266.67 = 228.27 : x
  2. Step 2: Convert to fraction form
    844.50/1,266.67 = 228.27/x
  3. Step 3: Cross multiply
    844.50x = 1,266.67 × 228.27
  4. Step 4: Simplify right side
    844.50x = 289,142.76
  5. Step 5: Solve for x
    x = 289,142.76/844.50
  6. Step 6: Final answer
    x = 342.38

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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.