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Finding the Fourth Proportional to 258.36, 353.43 and 257.64

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Solution

The fourth proportional to 258.36, 353.43 and 257.64 is: 352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.36 : 353.43 = 257.64 : x
  2. Step 2: Convert to fraction form
    258.36/353.43 = 257.64/x
  3. Step 3: Cross multiply
    258.36x = 353.43 × 257.64
  4. Step 4: Simplify right side
    258.36x = 91,057.71
  5. Step 5: Solve for x
    x = 91,057.71/258.36
  6. Step 6: Final answer
    x = 352.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.