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Finding the Fourth Proportional to 348.05, 480.22 and 208.11

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Solution

The fourth proportional to 348.05, 480.22 and 208.11 is: 287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.05 : 480.22 = 208.11 : x
  2. Step 2: Convert to fraction form
    348.05/480.22 = 208.11/x
  3. Step 3: Cross multiply
    348.05x = 480.22 × 208.11
  4. Step 4: Simplify right side
    348.05x = 99,938.06
  5. Step 5: Solve for x
    x = 99,938.06/348.05
  6. Step 6: Final answer
    x = 287.14

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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.