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Finding the Fourth Proportional to 172.44, 257.43 and 165.24

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Solution

The fourth proportional to 172.44, 257.43 and 165.24 is: 246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.44 : 257.43 = 165.24 : x
  2. Step 2: Convert to fraction form
    172.44/257.43 = 165.24/x
  3. Step 3: Cross multiply
    172.44x = 257.43 × 165.24
  4. Step 4: Simplify right side
    172.44x = 42,537.73
  5. Step 5: Solve for x
    x = 42,537.73/172.44
  6. Step 6: Final answer
    x = 246.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.