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Finding the Fourth Proportional to 349.60, 480.72 and 338.80

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Solution

The fourth proportional to 349.60, 480.72 and 338.80 is: 465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.60 : 480.72 = 338.80 : x
  2. Step 2: Convert to fraction form
    349.60/480.72 = 338.80/x
  3. Step 3: Cross multiply
    349.60x = 480.72 × 338.80
  4. Step 4: Simplify right side
    349.60x = 162,867.94
  5. Step 5: Solve for x
    x = 162,867.94/349.60
  6. Step 6: Final answer
    x = 465.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.