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Finding the Fourth Proportional to 172.81, 257.38 and 169.57

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Solution

The fourth proportional to 172.81, 257.38 and 169.57 is: 252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.81 : 257.38 = 169.57 : x
  2. Step 2: Convert to fraction form
    172.81/257.38 = 169.57/x
  3. Step 3: Cross multiply
    172.81x = 257.38 × 169.57
  4. Step 4: Simplify right side
    172.81x = 43,643.93
  5. Step 5: Solve for x
    x = 43,643.93/172.81
  6. Step 6: Final answer
    x = 252.55

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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.