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Finding the Fourth Proportional to 338.33, 469.03 and 319.85

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Solution

The fourth proportional to 338.33, 469.03 and 319.85 is: 443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.33 : 469.03 = 319.85 : x
  2. Step 2: Convert to fraction form
    338.33/469.03 = 319.85/x
  3. Step 3: Cross multiply
    338.33x = 469.03 × 319.85
  4. Step 4: Simplify right side
    338.33x = 150,019.25
  5. Step 5: Solve for x
    x = 150,019.25/338.33
  6. Step 6: Final answer
    x = 443.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.