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Finding the Fourth Proportional to 338.21, 506.39 and 335.02

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Solution

The fourth proportional to 338.21, 506.39 and 335.02 is: 501.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.21 : 506.39 = 335.02 : x
  2. Step 2: Convert to fraction form
    338.21/506.39 = 335.02/x
  3. Step 3: Cross multiply
    338.21x = 506.39 × 335.02
  4. Step 4: Simplify right side
    338.21x = 169,648.25
  5. Step 5: Solve for x
    x = 169,648.25/338.21
  6. Step 6: Final answer
    x = 501.61

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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.