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Finding the Fourth Proportional to 172.82, 257.43 and 163.50

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Solution

The fourth proportional to 172.82, 257.43 and 163.50 is: 243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.82 : 257.43 = 163.50 : x
  2. Step 2: Convert to fraction form
    172.82/257.43 = 163.50/x
  3. Step 3: Cross multiply
    172.82x = 257.43 × 163.50
  4. Step 4: Simplify right side
    172.82x = 42,089.81
  5. Step 5: Solve for x
    x = 42,089.81/172.82
  6. Step 6: Final answer
    x = 243.55

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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.