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Finding the Fourth Proportional to 1,378.01, 2,067 and 338.01

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Solution

The fourth proportional to 1,378.01, 2,067 and 338.01 is: 507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.01 : 2,067 = 338.01 : x
  2. Step 2: Convert to fraction form
    1,378.01/2,067 = 338.01/x
  3. Step 3: Cross multiply
    1,378.01x = 2,067 × 338.01
  4. Step 4: Simplify right side
    1,378.01x = 698,666.67
  5. Step 5: Solve for x
    x = 698,666.67/1,378.01
  6. Step 6: Final answer
    x = 507.01

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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.