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Finding the Fourth Proportional to 1,268.38, 1,902.38 and 343.99

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Solution

The fourth proportional to 1,268.38, 1,902.38 and 343.99 is: 515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.38 : 1,902.38 = 343.99 : x
  2. Step 2: Convert to fraction form
    1,268.38/1,902.38 = 343.99/x
  3. Step 3: Cross multiply
    1,268.38x = 1,902.38 × 343.99
  4. Step 4: Simplify right side
    1,268.38x = 654,399.70
  5. Step 5: Solve for x
    x = 654,399.70/1,268.38
  6. Step 6: Final answer
    x = 515.93

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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.