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Finding the Fourth Proportional to 348.09, 480.28 and 208.15

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Solution

The fourth proportional to 348.09, 480.28 and 208.15 is: 287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.09 : 480.28 = 208.15 : x
  2. Step 2: Convert to fraction form
    348.09/480.28 = 208.15/x
  3. Step 3: Cross multiply
    348.09x = 480.28 × 208.15
  4. Step 4: Simplify right side
    348.09x = 99,970.28
  5. Step 5: Solve for x
    x = 99,970.28/348.09
  6. Step 6: Final answer
    x = 287.20

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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.