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Finding the Fourth Proportional to 258.24, 386.76 and 250.56

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Solution

The fourth proportional to 258.24, 386.76 and 250.56 is: 375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.24 : 386.76 = 250.56 : x
  2. Step 2: Convert to fraction form
    258.24/386.76 = 250.56/x
  3. Step 3: Cross multiply
    258.24x = 386.76 × 250.56
  4. Step 4: Simplify right side
    258.24x = 96,906.59
  5. Step 5: Solve for x
    x = 96,906.59/258.24
  6. Step 6: Final answer
    x = 375.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.