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Finding the Fourth Proportional to 172.92, 257.62 and 167.12

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Solution

The fourth proportional to 172.92, 257.62 and 167.12 is: 248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.92 : 257.62 = 167.12 : x
  2. Step 2: Convert to fraction form
    172.92/257.62 = 167.12/x
  3. Step 3: Cross multiply
    172.92x = 257.62 × 167.12
  4. Step 4: Simplify right side
    172.92x = 43,053.45
  5. Step 5: Solve for x
    x = 43,053.45/172.92
  6. Step 6: Final answer
    x = 248.98

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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.