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Finding the Fourth Proportional to 338.93, 508.39 and 107.83

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Solution

The fourth proportional to 338.93, 508.39 and 107.83 is: 161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.93 : 508.39 = 107.83 : x
  2. Step 2: Convert to fraction form
    338.93/508.39 = 107.83/x
  3. Step 3: Cross multiply
    338.93x = 508.39 × 107.83
  4. Step 4: Simplify right side
    338.93x = 54,819.69
  5. Step 5: Solve for x
    x = 54,819.69/338.93
  6. Step 6: Final answer
    x = 161.74

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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.