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Finding the Fourth Proportional to 1,378.01, 2,067.02 and 338.02

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Solution

The fourth proportional to 1,378.01, 2,067.02 and 338.02 is: 507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.01 : 2,067.02 = 338.02 : x
  2. Step 2: Convert to fraction form
    1,378.01/2,067.02 = 338.02/x
  3. Step 3: Cross multiply
    1,378.01x = 2,067.02 × 338.02
  4. Step 4: Simplify right side
    1,378.01x = 698,694.95
  5. Step 5: Solve for x
    x = 698,694.95/1,378.01
  6. Step 6: Final answer
    x = 507.03

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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.