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Finding the Fourth Proportional to 257.97, 386.97 and 75.42

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Solution

The fourth proportional to 257.97, 386.97 and 75.42 is: 113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.97 : 386.97 = 75.42 : x
  2. Step 2: Convert to fraction form
    257.97/386.97 = 75.42/x
  3. Step 3: Cross multiply
    257.97x = 386.97 × 75.42
  4. Step 4: Simplify right side
    257.97x = 29,185.28
  5. Step 5: Solve for x
    x = 29,185.28/257.97
  6. Step 6: Final answer
    x = 113.13

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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.