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Finding the Fourth Proportional to 1,203.80, 1,806 and 338.11

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Solution

The fourth proportional to 1,203.80, 1,806 and 338.11 is: 507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.80 : 1,806 = 338.11 : x
  2. Step 2: Convert to fraction form
    1,203.80/1,806 = 338.11/x
  3. Step 3: Cross multiply
    1,203.80x = 1,806 × 338.11
  4. Step 4: Simplify right side
    1,203.80x = 610,626.66
  5. Step 5: Solve for x
    x = 610,626.66/1,203.80
  6. Step 6: Final answer
    x = 507.25

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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.