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Finding the Fourth Proportional to 258.26, 356.27 and 179.69

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Solution

The fourth proportional to 258.26, 356.27 and 179.69 is: 247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.26 : 356.27 = 179.69 : x
  2. Step 2: Convert to fraction form
    258.26/356.27 = 179.69/x
  3. Step 3: Cross multiply
    258.26x = 356.27 × 179.69
  4. Step 4: Simplify right side
    258.26x = 64,015.48
  5. Step 5: Solve for x
    x = 64,015.48/258.26
  6. Step 6: Final answer
    x = 247.88

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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.