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Finding the Fourth Proportional to 172.41, 257.18 and 161.93

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Solution

The fourth proportional to 172.41, 257.18 and 161.93 is: 241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.41 : 257.18 = 161.93 : x
  2. Step 2: Convert to fraction form
    172.41/257.18 = 161.93/x
  3. Step 3: Cross multiply
    172.41x = 257.18 × 161.93
  4. Step 4: Simplify right side
    172.41x = 41,646.21
  5. Step 5: Solve for x
    x = 41,646.21/172.41
  6. Step 6: Final answer
    x = 241.55

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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.