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Finding the Fourth Proportional to 853.16, 1,279.79 and 268.27

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Solution

The fourth proportional to 853.16, 1,279.79 and 268.27 is: 402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.16 : 1,279.79 = 268.27 : x
  2. Step 2: Convert to fraction form
    853.16/1,279.79 = 268.27/x
  3. Step 3: Cross multiply
    853.16x = 1,279.79 × 268.27
  4. Step 4: Simplify right side
    853.16x = 343,329.26
  5. Step 5: Solve for x
    x = 343,329.26/853.16
  6. Step 6: Final answer
    x = 402.42

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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.