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Finding the Fourth Proportional to 172.43, 257.31 and 168.35

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Solution

The fourth proportional to 172.43, 257.31 and 168.35 is: 251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.43 : 257.31 = 168.35 : x
  2. Step 2: Convert to fraction form
    172.43/257.31 = 168.35/x
  3. Step 3: Cross multiply
    172.43x = 257.31 × 168.35
  4. Step 4: Simplify right side
    172.43x = 43,316.85
  5. Step 5: Solve for x
    x = 43,316.85/172.43
  6. Step 6: Final answer
    x = 251.22

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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.