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Finding the Fourth Proportional to 172.96, 238.88 and 131.44

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Solution

The fourth proportional to 172.96, 238.88 and 131.44 is: 181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.96 : 238.88 = 131.44 : x
  2. Step 2: Convert to fraction form
    172.96/238.88 = 131.44/x
  3. Step 3: Cross multiply
    172.96x = 238.88 × 131.44
  4. Step 4: Simplify right side
    172.96x = 31,398.12
  5. Step 5: Solve for x
    x = 31,398.12/172.96
  6. Step 6: Final answer
    x = 181.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.