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Finding the Fourth Proportional to 172.70, 257.71 and 157.37

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Solution

The fourth proportional to 172.70, 257.71 and 157.37 is: 234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.70 : 257.71 = 157.37 : x
  2. Step 2: Convert to fraction form
    172.70/257.71 = 157.37/x
  3. Step 3: Cross multiply
    172.70x = 257.71 × 157.37
  4. Step 4: Simplify right side
    172.70x = 40,555.82
  5. Step 5: Solve for x
    x = 40,555.82/172.70
  6. Step 6: Final answer
    x = 234.83

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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.