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Finding the Fourth Proportional to 861.33, 1,291.97 and 276.32

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Solution

The fourth proportional to 861.33, 1,291.97 and 276.32 is: 414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.33 : 1,291.97 = 276.32 : x
  2. Step 2: Convert to fraction form
    861.33/1,291.97 = 276.32/x
  3. Step 3: Cross multiply
    861.33x = 1,291.97 × 276.32
  4. Step 4: Simplify right side
    861.33x = 356,997.15
  5. Step 5: Solve for x
    x = 356,997.15/861.33
  6. Step 6: Final answer
    x = 414.47

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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.