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Finding the Fourth Proportional to 172.86, 257.18 and 171.54

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Solution

The fourth proportional to 172.86, 257.18 and 171.54 is: 255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.86 : 257.18 = 171.54 : x
  2. Step 2: Convert to fraction form
    172.86/257.18 = 171.54/x
  3. Step 3: Cross multiply
    172.86x = 257.18 × 171.54
  4. Step 4: Simplify right side
    172.86x = 44,115.80
  5. Step 5: Solve for x
    x = 44,115.80/172.86
  6. Step 6: Final answer
    x = 255.21

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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.