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Finding the Fourth Proportional to 172.34, 256.97 and 170.21

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Solution

The fourth proportional to 172.34, 256.97 and 170.21 is: 253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.34 : 256.97 = 170.21 : x
  2. Step 2: Convert to fraction form
    172.34/256.97 = 170.21/x
  3. Step 3: Cross multiply
    172.34x = 256.97 × 170.21
  4. Step 4: Simplify right side
    172.34x = 43,736.73
  5. Step 5: Solve for x
    x = 43,736.73/172.34
  6. Step 6: Final answer
    x = 253.79

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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.