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Finding the Fourth Proportional to 172.45, 260.20 and 166.87

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Solution

The fourth proportional to 172.45, 260.20 and 166.87 is: 251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.45 : 260.20 = 166.87 : x
  2. Step 2: Convert to fraction form
    172.45/260.20 = 166.87/x
  3. Step 3: Cross multiply
    172.45x = 260.20 × 166.87
  4. Step 4: Simplify right side
    172.45x = 43,419.57
  5. Step 5: Solve for x
    x = 43,419.57/172.45
  6. Step 6: Final answer
    x = 251.78

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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.