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Finding the Fourth Proportional to 308.00, 425.20 and 208.49

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Solution

The fourth proportional to 308.00, 425.20 and 208.49 is: 287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.00 : 425.20 = 208.49 : x
  2. Step 2: Convert to fraction form
    308.00/425.20 = 208.49/x
  3. Step 3: Cross multiply
    308.00x = 425.20 × 208.49
  4. Step 4: Simplify right side
    308.00x = 88,647.30
  5. Step 5: Solve for x
    x = 88,647.30/308.00
  6. Step 6: Final answer
    x = 287.82

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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.