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Finding the Fourth Proportional to 190.91, 286.50 and 129.28

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Solution

The fourth proportional to 190.91, 286.50 and 129.28 is: 194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.91 : 286.50 = 129.28 : x
  2. Step 2: Convert to fraction form
    190.91/286.50 = 129.28/x
  3. Step 3: Cross multiply
    190.91x = 286.50 × 129.28
  4. Step 4: Simplify right side
    190.91x = 37,038.72
  5. Step 5: Solve for x
    x = 37,038.72/190.91
  6. Step 6: Final answer
    x = 194.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.