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Finding the Fourth Proportional to 338.20, 506.28 and 301.30

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Solution

The fourth proportional to 338.20, 506.28 and 301.30 is: 451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.20 : 506.28 = 301.30 : x
  2. Step 2: Convert to fraction form
    338.20/506.28 = 301.30/x
  3. Step 3: Cross multiply
    338.20x = 506.28 × 301.30
  4. Step 4: Simplify right side
    338.20x = 152,542.16
  5. Step 5: Solve for x
    x = 152,542.16/338.20
  6. Step 6: Final answer
    x = 451.04

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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.