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Finding the Fourth Proportional to 853.13, 1,279.71 and 268.12

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Solution

The fourth proportional to 853.13, 1,279.71 and 268.12 is: 402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.13 : 1,279.71 = 268.12 : x
  2. Step 2: Convert to fraction form
    853.13/1,279.71 = 268.12/x
  3. Step 3: Cross multiply
    853.13x = 1,279.71 × 268.12
  4. Step 4: Simplify right side
    853.13x = 343,110.25
  5. Step 5: Solve for x
    x = 343,110.25/853.13
  6. Step 6: Final answer
    x = 402.18

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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.