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Finding the Fourth Proportional to 172.74, 259.11 and 44.49

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Solution

The fourth proportional to 172.74, 259.11 and 44.49 is: 66.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.74 : 259.11 = 44.49 : x
  2. Step 2: Convert to fraction form
    172.74/259.11 = 44.49/x
  3. Step 3: Cross multiply
    172.74x = 259.11 × 44.49
  4. Step 4: Simplify right side
    172.74x = 11,527.80
  5. Step 5: Solve for x
    x = 11,527.80/172.74
  6. Step 6: Final answer
    x = 66.74

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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.