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Finding the Fourth Proportional to 1,368.33, 2,052.36 and 381.12

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Solution

The fourth proportional to 1,368.33, 2,052.36 and 381.12 is: 571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.33 : 2,052.36 = 381.12 : x
  2. Step 2: Convert to fraction form
    1,368.33/2,052.36 = 381.12/x
  3. Step 3: Cross multiply
    1,368.33x = 2,052.36 × 381.12
  4. Step 4: Simplify right side
    1,368.33x = 782,195.44
  5. Step 5: Solve for x
    x = 782,195.44/1,368.33
  6. Step 6: Final answer
    x = 571.64

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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.