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Finding the Fourth Proportional to 844.49, 1,267.30 and 296.68

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Solution

The fourth proportional to 844.49, 1,267.30 and 296.68 is: 445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.49 : 1,267.30 = 296.68 : x
  2. Step 2: Convert to fraction form
    844.49/1,267.30 = 296.68/x
  3. Step 3: Cross multiply
    844.49x = 1,267.30 × 296.68
  4. Step 4: Simplify right side
    844.49x = 375,976.23
  5. Step 5: Solve for x
    x = 375,976.23/844.49
  6. Step 6: Final answer
    x = 445.21

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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.