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Finding the Fourth Proportional to 190.02, 286.13 and 161.23

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Solution

The fourth proportional to 190.02, 286.13 and 161.23 is: 242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.02 : 286.13 = 161.23 : x
  2. Step 2: Convert to fraction form
    190.02/286.13 = 161.23/x
  3. Step 3: Cross multiply
    190.02x = 286.13 × 161.23
  4. Step 4: Simplify right side
    190.02x = 46,132.96
  5. Step 5: Solve for x
    x = 46,132.96/190.02
  6. Step 6: Final answer
    x = 242.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.