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Finding the Fourth Proportional to 172.74, 260.41 and 161.29

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Solution

The fourth proportional to 172.74, 260.41 and 161.29 is: 243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.74 : 260.41 = 161.29 : x
  2. Step 2: Convert to fraction form
    172.74/260.41 = 161.29/x
  3. Step 3: Cross multiply
    172.74x = 260.41 × 161.29
  4. Step 4: Simplify right side
    172.74x = 42,000.29
  5. Step 5: Solve for x
    x = 42,000.29/172.74
  6. Step 6: Final answer
    x = 243.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.