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Finding the Fourth Proportional to 172.44, 239.04 and 165.60

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Solution

The fourth proportional to 172.44, 239.04 and 165.60 is: 229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.44 : 239.04 = 165.60 : x
  2. Step 2: Convert to fraction form
    172.44/239.04 = 165.60/x
  3. Step 3: Cross multiply
    172.44x = 239.04 × 165.60
  4. Step 4: Simplify right side
    172.44x = 39,585.02
  5. Step 5: Solve for x
    x = 39,585.02/172.44
  6. Step 6: Final answer
    x = 229.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.