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Finding the Fourth Proportional to 319.85, 480.23 and 137.60

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Solution

The fourth proportional to 319.85, 480.23 and 137.60 is: 206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.85 : 480.23 = 137.60 : x
  2. Step 2: Convert to fraction form
    319.85/480.23 = 137.60/x
  3. Step 3: Cross multiply
    319.85x = 480.23 × 137.60
  4. Step 4: Simplify right side
    319.85x = 66,078.88
  5. Step 5: Solve for x
    x = 66,078.88/319.85
  6. Step 6: Final answer
    x = 206.59

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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.