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Finding the Fourth Proportional to 257.94, 356.40 and 208.73

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Solution

The fourth proportional to 257.94, 356.40 and 208.73 is: 288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.94 : 356.40 = 208.73 : x
  2. Step 2: Convert to fraction form
    257.94/356.40 = 208.73/x
  3. Step 3: Cross multiply
    257.94x = 356.40 × 208.73
  4. Step 4: Simplify right side
    257.94x = 74,392.26
  5. Step 5: Solve for x
    x = 74,392.26/257.94
  6. Step 6: Final answer
    x = 288.41

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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.