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Finding the Fourth Proportional to 172.10, 257.62 and 162.49

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Solution

The fourth proportional to 172.10, 257.62 and 162.49 is: 243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.10 : 257.62 = 162.49 : x
  2. Step 2: Convert to fraction form
    172.10/257.62 = 162.49/x
  3. Step 3: Cross multiply
    172.10x = 257.62 × 162.49
  4. Step 4: Simplify right side
    172.10x = 41,860.67
  5. Step 5: Solve for x
    x = 41,860.67/172.10
  6. Step 6: Final answer
    x = 243.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.