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Finding the Fourth Proportional to 172.15, 257.66 and 110.49

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Solution

The fourth proportional to 172.15, 257.66 and 110.49 is: 165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.15 : 257.66 = 110.49 : x
  2. Step 2: Convert to fraction form
    172.15/257.66 = 110.49/x
  3. Step 3: Cross multiply
    172.15x = 257.66 × 110.49
  4. Step 4: Simplify right side
    172.15x = 28,468.85
  5. Step 5: Solve for x
    x = 28,468.85/172.15
  6. Step 6: Final answer
    x = 165.37

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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.