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Finding the Fourth Proportional to 846.14, 1,268.94 and 268.88

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Solution

The fourth proportional to 846.14, 1,268.94 and 268.88 is: 403.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.14 : 1,268.94 = 268.88 : x
  2. Step 2: Convert to fraction form
    846.14/1,268.94 = 268.88/x
  3. Step 3: Cross multiply
    846.14x = 1,268.94 × 268.88
  4. Step 4: Simplify right side
    846.14x = 341,192.59
  5. Step 5: Solve for x
    x = 341,192.59/846.14
  6. Step 6: Final answer
    x = 403.23

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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.