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Finding the Fourth Proportional to 257.45, 355.13 and 208.25

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Solution

The fourth proportional to 257.45, 355.13 and 208.25 is: 287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.45 : 355.13 = 208.25 : x
  2. Step 2: Convert to fraction form
    257.45/355.13 = 208.25/x
  3. Step 3: Cross multiply
    257.45x = 355.13 × 208.25
  4. Step 4: Simplify right side
    257.45x = 73,954.78
  5. Step 5: Solve for x
    x = 73,954.78/257.45
  6. Step 6: Final answer
    x = 287.26

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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.