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Finding the Fourth Proportional to 338.45, 504.38 and 301.90

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Solution

The fourth proportional to 338.45, 504.38 and 301.90 is: 449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.45 : 504.38 = 301.90 : x
  2. Step 2: Convert to fraction form
    338.45/504.38 = 301.90/x
  3. Step 3: Cross multiply
    338.45x = 504.38 × 301.90
  4. Step 4: Simplify right side
    338.45x = 152,270.68
  5. Step 5: Solve for x
    x = 152,270.68/338.45
  6. Step 6: Final answer
    x = 449.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.