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Finding the Fourth Proportional to 258.45, 386.92 and 171.87

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Solution

The fourth proportional to 258.45, 386.92 and 171.87 is: 257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.45 : 386.92 = 171.87 : x
  2. Step 2: Convert to fraction form
    258.45/386.92 = 171.87/x
  3. Step 3: Cross multiply
    258.45x = 386.92 × 171.87
  4. Step 4: Simplify right side
    258.45x = 66,499.94
  5. Step 5: Solve for x
    x = 66,499.94/258.45
  6. Step 6: Final answer
    x = 257.30

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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.