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Finding the Fourth Proportional to 853.28, 1,279.69 and 366.22

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Solution

The fourth proportional to 853.28, 1,279.69 and 366.22 is: 549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.28 : 1,279.69 = 366.22 : x
  2. Step 2: Convert to fraction form
    853.28/1,279.69 = 366.22/x
  3. Step 3: Cross multiply
    853.28x = 1,279.69 × 366.22
  4. Step 4: Simplify right side
    853.28x = 468,642.70
  5. Step 5: Solve for x
    x = 468,642.70/853.28
  6. Step 6: Final answer
    x = 549.23

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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.