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Finding the Fourth Proportional to 172.73, 257.44 and 171.30

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Solution

The fourth proportional to 172.73, 257.44 and 171.30 is: 255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.73 : 257.44 = 171.30 : x
  2. Step 2: Convert to fraction form
    172.73/257.44 = 171.30/x
  3. Step 3: Cross multiply
    172.73x = 257.44 × 171.30
  4. Step 4: Simplify right side
    172.73x = 44,100.21
  5. Step 5: Solve for x
    x = 44,100.21/172.73
  6. Step 6: Final answer
    x = 255.31

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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.