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Finding the Fourth Proportional to 172.68, 257.61 and 167.97

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Solution

The fourth proportional to 172.68, 257.61 and 167.97 is: 250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.68 : 257.61 = 167.97 : x
  2. Step 2: Convert to fraction form
    172.68/257.61 = 167.97/x
  3. Step 3: Cross multiply
    172.68x = 257.61 × 167.97
  4. Step 4: Simplify right side
    172.68x = 43,272.35
  5. Step 5: Solve for x
    x = 43,272.35/172.68
  6. Step 6: Final answer
    x = 250.59

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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.