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Finding the Fourth Proportional to 179.90, 270.95 and 171.26

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Solution

The fourth proportional to 179.90, 270.95 and 171.26 is: 257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.90 : 270.95 = 171.26 : x
  2. Step 2: Convert to fraction form
    179.90/270.95 = 171.26/x
  3. Step 3: Cross multiply
    179.90x = 270.95 × 171.26
  4. Step 4: Simplify right side
    179.90x = 46,401.54
  5. Step 5: Solve for x
    x = 46,401.54/179.90
  6. Step 6: Final answer
    x = 257.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.