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Finding the Fourth Proportional to 190.54, 262.68 and 157.23

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Solution

The fourth proportional to 190.54, 262.68 and 157.23 is: 216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.54 : 262.68 = 157.23 : x
  2. Step 2: Convert to fraction form
    190.54/262.68 = 157.23/x
  3. Step 3: Cross multiply
    190.54x = 262.68 × 157.23
  4. Step 4: Simplify right side
    190.54x = 41,300.59
  5. Step 5: Solve for x
    x = 41,300.59/190.54
  6. Step 6: Final answer
    x = 216.75

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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.