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Finding the Fourth Proportional to 258.44, 353.78 and 250.16

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Solution

The fourth proportional to 258.44, 353.78 and 250.16 is: 342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.44 : 353.78 = 250.16 : x
  2. Step 2: Convert to fraction form
    258.44/353.78 = 250.16/x
  3. Step 3: Cross multiply
    258.44x = 353.78 × 250.16
  4. Step 4: Simplify right side
    258.44x = 88,501.60
  5. Step 5: Solve for x
    x = 88,501.60/258.44
  6. Step 6: Final answer
    x = 342.45

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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.