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Finding the Fourth Proportional to 172.71, 259.07 and 126.84

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Solution

The fourth proportional to 172.71, 259.07 and 126.84 is: 190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.71 : 259.07 = 126.84 : x
  2. Step 2: Convert to fraction form
    172.71/259.07 = 126.84/x
  3. Step 3: Cross multiply
    172.71x = 259.07 × 126.84
  4. Step 4: Simplify right side
    172.71x = 32,860.44
  5. Step 5: Solve for x
    x = 32,860.44/172.71
  6. Step 6: Final answer
    x = 190.26

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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.