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Finding the Fourth Proportional to 190.52, 262.68 and 180.26

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Solution

The fourth proportional to 190.52, 262.68 and 180.26 is: 248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.52 : 262.68 = 180.26 : x
  2. Step 2: Convert to fraction form
    190.52/262.68 = 180.26/x
  3. Step 3: Cross multiply
    190.52x = 262.68 × 180.26
  4. Step 4: Simplify right side
    190.52x = 47,350.70
  5. Step 5: Solve for x
    x = 47,350.70/190.52
  6. Step 6: Final answer
    x = 248.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.