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Finding the Fourth Proportional to 845.25, 1,268.09 and 268.13

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Solution

The fourth proportional to 845.25, 1,268.09 and 268.13 is: 402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.25 : 1,268.09 = 268.13 : x
  2. Step 2: Convert to fraction form
    845.25/1,268.09 = 268.13/x
  3. Step 3: Cross multiply
    845.25x = 1,268.09 × 268.13
  4. Step 4: Simplify right side
    845.25x = 340,005.29
  5. Step 5: Solve for x
    x = 340,005.29/845.25
  6. Step 6: Final answer
    x = 402.25

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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.