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Finding the Fourth Proportional to 172.12, 259.66 and 163.57

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Solution

The fourth proportional to 172.12, 259.66 and 163.57 is: 246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.12 : 259.66 = 163.57 : x
  2. Step 2: Convert to fraction form
    172.12/259.66 = 163.57/x
  3. Step 3: Cross multiply
    172.12x = 259.66 × 163.57
  4. Step 4: Simplify right side
    172.12x = 42,472.59
  5. Step 5: Solve for x
    x = 42,472.59/172.12
  6. Step 6: Final answer
    x = 246.76

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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.