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Finding the Fourth Proportional to 421.11, 579.20 and 338.03

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Solution

The fourth proportional to 421.11, 579.20 and 338.03 is: 464.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.11 : 579.20 = 338.03 : x
  2. Step 2: Convert to fraction form
    421.11/579.20 = 338.03/x
  3. Step 3: Cross multiply
    421.11x = 579.20 × 338.03
  4. Step 4: Simplify right side
    421.11x = 195,788.09
  5. Step 5: Solve for x
    x = 195,788.09/421.11
  6. Step 6: Final answer
    x = 464.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.