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Finding the Fourth Proportional to 172.24, 235.85 and 171.04

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Solution

The fourth proportional to 172.24, 235.85 and 171.04 is: 234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.24 : 235.85 = 171.04 : x
  2. Step 2: Convert to fraction form
    172.24/235.85 = 171.04/x
  3. Step 3: Cross multiply
    172.24x = 235.85 × 171.04
  4. Step 4: Simplify right side
    172.24x = 40,339.78
  5. Step 5: Solve for x
    x = 40,339.78/172.24
  6. Step 6: Final answer
    x = 234.21

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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.