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Finding the Fourth Proportional to 257.75, 386.59 and 95.41

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Solution

The fourth proportional to 257.75, 386.59 and 95.41 is: 143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.75 : 386.59 = 95.41 : x
  2. Step 2: Convert to fraction form
    257.75/386.59 = 95.41/x
  3. Step 3: Cross multiply
    257.75x = 386.59 × 95.41
  4. Step 4: Simplify right side
    257.75x = 36,882.38
  5. Step 5: Solve for x
    x = 36,882.38/257.75
  6. Step 6: Final answer
    x = 143.09

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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.