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Finding the Fourth Proportional to 172.17, 257.07 and 170.44

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Solution

The fourth proportional to 172.17, 257.07 and 170.44 is: 254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.17 : 257.07 = 170.44 : x
  2. Step 2: Convert to fraction form
    172.17/257.07 = 170.44/x
  3. Step 3: Cross multiply
    172.17x = 257.07 × 170.44
  4. Step 4: Simplify right side
    172.17x = 43,815.01
  5. Step 5: Solve for x
    x = 43,815.01/172.17
  6. Step 6: Final answer
    x = 254.49

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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.