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Finding the Fourth Proportional to 190.50, 262.81 and 124.10

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Solution

The fourth proportional to 190.50, 262.81 and 124.10 is: 171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.50 : 262.81 = 124.10 : x
  2. Step 2: Convert to fraction form
    190.50/262.81 = 124.10/x
  3. Step 3: Cross multiply
    190.50x = 262.81 × 124.10
  4. Step 4: Simplify right side
    190.50x = 32,614.72
  5. Step 5: Solve for x
    x = 32,614.72/190.50
  6. Step 6: Final answer
    x = 171.21

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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.