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Finding the Fourth Proportional to 845.44, 1,268.16 and 268.31

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Solution

The fourth proportional to 845.44, 1,268.16 and 268.31 is: 402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.44 : 1,268.16 = 268.31 : x
  2. Step 2: Convert to fraction form
    845.44/1,268.16 = 268.31/x
  3. Step 3: Cross multiply
    845.44x = 1,268.16 × 268.31
  4. Step 4: Simplify right side
    845.44x = 340,262.17
  5. Step 5: Solve for x
    x = 340,262.17/845.44
  6. Step 6: Final answer
    x = 402.47

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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.