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Finding the Fourth Proportional to 172.65, 239.26 and 166.27

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Solution

The fourth proportional to 172.65, 239.26 and 166.27 is: 230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.65 : 239.26 = 166.27 : x
  2. Step 2: Convert to fraction form
    172.65/239.26 = 166.27/x
  3. Step 3: Cross multiply
    172.65x = 239.26 × 166.27
  4. Step 4: Simplify right side
    172.65x = 39,781.76
  5. Step 5: Solve for x
    x = 39,781.76/172.65
  6. Step 6: Final answer
    x = 230.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.