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Finding the Fourth Proportional to 172.41, 256.78 and 168.15

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Solution

The fourth proportional to 172.41, 256.78 and 168.15 is: 250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.41 : 256.78 = 168.15 : x
  2. Step 2: Convert to fraction form
    172.41/256.78 = 168.15/x
  3. Step 3: Cross multiply
    172.41x = 256.78 × 168.15
  4. Step 4: Simplify right side
    172.41x = 43,177.14
  5. Step 5: Solve for x
    x = 43,177.14/172.41
  6. Step 6: Final answer
    x = 250.43

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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.