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Finding the Fourth Proportional to 258.82, 386.43 and 256.22

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Solution

The fourth proportional to 258.82, 386.43 and 256.22 is: 382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.82 : 386.43 = 256.22 : x
  2. Step 2: Convert to fraction form
    258.82/386.43 = 256.22/x
  3. Step 3: Cross multiply
    258.82x = 386.43 × 256.22
  4. Step 4: Simplify right side
    258.82x = 99,011.09
  5. Step 5: Solve for x
    x = 99,011.09/258.82
  6. Step 6: Final answer
    x = 382.55

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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.