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Finding the Fourth Proportional to 171.45, 255.38 and 162.14

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Solution

The fourth proportional to 171.45, 255.38 and 162.14 is: 241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.45 : 255.38 = 162.14 : x
  2. Step 2: Convert to fraction form
    171.45/255.38 = 162.14/x
  3. Step 3: Cross multiply
    171.45x = 255.38 × 162.14
  4. Step 4: Simplify right side
    171.45x = 41,405.23
  5. Step 5: Solve for x
    x = 41,405.23/171.45
  6. Step 6: Final answer
    x = 241.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.