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Finding the Fourth Proportional to 308.24, 425.54 and 208.73

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Solution

The fourth proportional to 308.24, 425.54 and 208.73 is: 288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.24 : 425.54 = 208.73 : x
  2. Step 2: Convert to fraction form
    308.24/425.54 = 208.73/x
  3. Step 3: Cross multiply
    308.24x = 425.54 × 208.73
  4. Step 4: Simplify right side
    308.24x = 88,822.96
  5. Step 5: Solve for x
    x = 88,822.96/308.24
  6. Step 6: Final answer
    x = 288.16

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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.