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Finding the Fourth Proportional to 172.33, 235.73 and 169.65

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Solution

The fourth proportional to 172.33, 235.73 and 169.65 is: 232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.33 : 235.73 = 169.65 : x
  2. Step 2: Convert to fraction form
    172.33/235.73 = 169.65/x
  3. Step 3: Cross multiply
    172.33x = 235.73 × 169.65
  4. Step 4: Simplify right side
    172.33x = 39,992.02
  5. Step 5: Solve for x
    x = 39,992.02/172.33
  6. Step 6: Final answer
    x = 232.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.