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Finding the Fourth Proportional to 190.75, 286.02 and 60.71

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Solution

The fourth proportional to 190.75, 286.02 and 60.71 is: 91.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.75 : 286.02 = 60.71 : x
  2. Step 2: Convert to fraction form
    190.75/286.02 = 60.71/x
  3. Step 3: Cross multiply
    190.75x = 286.02 × 60.71
  4. Step 4: Simplify right side
    190.75x = 17,364.93
  5. Step 5: Solve for x
    x = 17,364.93/190.75
  6. Step 6: Final answer
    x = 91.04

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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.