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Finding the Fourth Proportional to 844.52, 1,266.80 and 267.40

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Solution

The fourth proportional to 844.52, 1,266.80 and 267.40 is: 401.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.52 : 1,266.80 = 267.40 : x
  2. Step 2: Convert to fraction form
    844.52/1,266.80 = 267.40/x
  3. Step 3: Cross multiply
    844.52x = 1,266.80 × 267.40
  4. Step 4: Simplify right side
    844.52x = 338,742.32
  5. Step 5: Solve for x
    x = 338,742.32/844.52
  6. Step 6: Final answer
    x = 401.11

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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.