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Finding the Fourth Proportional to 853.36, 1,280.04 and 276.28

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Solution

The fourth proportional to 853.36, 1,280.04 and 276.28 is: 414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.36 : 1,280.04 = 276.28 : x
  2. Step 2: Convert to fraction form
    853.36/1,280.04 = 276.28/x
  3. Step 3: Cross multiply
    853.36x = 1,280.04 × 276.28
  4. Step 4: Simplify right side
    853.36x = 353,649.45
  5. Step 5: Solve for x
    x = 353,649.45/853.36
  6. Step 6: Final answer
    x = 414.42

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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.