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Finding the Fourth Proportional to 172.23, 235.59 and 171.69

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Solution

The fourth proportional to 172.23, 235.59 and 171.69 is: 234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.23 : 235.59 = 171.69 : x
  2. Step 2: Convert to fraction form
    172.23/235.59 = 171.69/x
  3. Step 3: Cross multiply
    172.23x = 235.59 × 171.69
  4. Step 4: Simplify right side
    172.23x = 40,448.45
  5. Step 5: Solve for x
    x = 40,448.45/172.23
  6. Step 6: Final answer
    x = 234.85

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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.