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Finding the Fourth Proportional to 190.68, 261.76 and 172.23

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Solution

The fourth proportional to 190.68, 261.76 and 172.23 is: 236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.68 : 261.76 = 172.23 : x
  2. Step 2: Convert to fraction form
    190.68/261.76 = 172.23/x
  3. Step 3: Cross multiply
    190.68x = 261.76 × 172.23
  4. Step 4: Simplify right side
    190.68x = 45,081.35
  5. Step 5: Solve for x
    x = 45,081.35/190.68
  6. Step 6: Final answer
    x = 236.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.