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Finding the Fourth Proportional to 172.73, 238.73 and 165.38

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Solution

The fourth proportional to 172.73, 238.73 and 165.38 is: 228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.73 : 238.73 = 165.38 : x
  2. Step 2: Convert to fraction form
    172.73/238.73 = 165.38/x
  3. Step 3: Cross multiply
    172.73x = 238.73 × 165.38
  4. Step 4: Simplify right side
    172.73x = 39,479.15
  5. Step 5: Solve for x
    x = 39,479.15/172.73
  6. Step 6: Final answer
    x = 228.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.