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Finding the Fourth Proportional to 172.16, 235.60 and 171.20

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Solution

The fourth proportional to 172.16, 235.60 and 171.20 is: 234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.16 : 235.60 = 171.20 : x
  2. Step 2: Convert to fraction form
    172.16/235.60 = 171.20/x
  3. Step 3: Cross multiply
    172.16x = 235.60 × 171.20
  4. Step 4: Simplify right side
    172.16x = 40,334.72
  5. Step 5: Solve for x
    x = 40,334.72/172.16
  6. Step 6: Final answer
    x = 234.29

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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.