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Finding the Fourth Proportional to 339.38, 509.20 and 133.96

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Solution

The fourth proportional to 339.38, 509.20 and 133.96 is: 200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.38 : 509.20 = 133.96 : x
  2. Step 2: Convert to fraction form
    339.38/509.20 = 133.96/x
  3. Step 3: Cross multiply
    339.38x = 509.20 × 133.96
  4. Step 4: Simplify right side
    339.38x = 68,212.43
  5. Step 5: Solve for x
    x = 68,212.43/339.38
  6. Step 6: Final answer
    x = 200.99

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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.