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Finding the Fourth Proportional to 844.50, 1,266.78 and 267.42

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Solution

The fourth proportional to 844.50, 1,266.78 and 267.42 is: 401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.50 : 1,266.78 = 267.42 : x
  2. Step 2: Convert to fraction form
    844.50/1,266.78 = 267.42/x
  3. Step 3: Cross multiply
    844.50x = 1,266.78 × 267.42
  4. Step 4: Simplify right side
    844.50x = 338,762.31
  5. Step 5: Solve for x
    x = 338,762.31/844.50
  6. Step 6: Final answer
    x = 401.14

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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.