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Finding the Fourth Proportional to 258.68, 359.43 and 255.41

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Solution

The fourth proportional to 258.68, 359.43 and 255.41 is: 354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.68 : 359.43 = 255.41 : x
  2. Step 2: Convert to fraction form
    258.68/359.43 = 255.41/x
  3. Step 3: Cross multiply
    258.68x = 359.43 × 255.41
  4. Step 4: Simplify right side
    258.68x = 91,800.22
  5. Step 5: Solve for x
    x = 91,800.22/258.68
  6. Step 6: Final answer
    x = 354.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.