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Finding the Fourth Proportional to 172.27, 259.70 and 160.82

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Solution

The fourth proportional to 172.27, 259.70 and 160.82 is: 242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.27 : 259.70 = 160.82 : x
  2. Step 2: Convert to fraction form
    172.27/259.70 = 160.82/x
  3. Step 3: Cross multiply
    172.27x = 259.70 × 160.82
  4. Step 4: Simplify right side
    172.27x = 41,764.61
  5. Step 5: Solve for x
    x = 41,764.61/172.27
  6. Step 6: Final answer
    x = 242.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.