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Finding the Fourth Proportional to 172.88, 260.62 and 161.13

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Solution

The fourth proportional to 172.88, 260.62 and 161.13 is: 242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.88 : 260.62 = 161.13 : x
  2. Step 2: Convert to fraction form
    172.88/260.62 = 161.13/x
  3. Step 3: Cross multiply
    172.88x = 260.62 × 161.13
  4. Step 4: Simplify right side
    172.88x = 41,993.70
  5. Step 5: Solve for x
    x = 41,993.70/172.88
  6. Step 6: Final answer
    x = 242.91

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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.