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Finding the Fourth Proportional to 258.63, 385.64 and 255.44

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Solution

The fourth proportional to 258.63, 385.64 and 255.44 is: 380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.63 : 385.64 = 255.44 : x
  2. Step 2: Convert to fraction form
    258.63/385.64 = 255.44/x
  3. Step 3: Cross multiply
    258.63x = 385.64 × 255.44
  4. Step 4: Simplify right side
    258.63x = 98,504.68
  5. Step 5: Solve for x
    x = 98,504.68/258.63
  6. Step 6: Final answer
    x = 380.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.