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Finding the Fourth Proportional to 172.85, 257.23 and 166.37

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Solution

The fourth proportional to 172.85, 257.23 and 166.37 is: 247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.85 : 257.23 = 166.37 : x
  2. Step 2: Convert to fraction form
    172.85/257.23 = 166.37/x
  3. Step 3: Cross multiply
    172.85x = 257.23 × 166.37
  4. Step 4: Simplify right side
    172.85x = 42,794.28
  5. Step 5: Solve for x
    x = 42,794.28/172.85
  6. Step 6: Final answer
    x = 247.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.