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Finding the Fourth Proportional to 172.44, 239.04 and 161.40

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Solution

The fourth proportional to 172.44, 239.04 and 161.40 is: 223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.44 : 239.04 = 161.40 : x
  2. Step 2: Convert to fraction form
    172.44/239.04 = 161.40/x
  3. Step 3: Cross multiply
    172.44x = 239.04 × 161.40
  4. Step 4: Simplify right side
    172.44x = 38,581.06
  5. Step 5: Solve for x
    x = 38,581.06/172.44
  6. Step 6: Final answer
    x = 223.74

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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.