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Finding the Fourth Proportional to 190.50, 286.08 and 113.95

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Solution

The fourth proportional to 190.50, 286.08 and 113.95 is: 171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.50 : 286.08 = 113.95 : x
  2. Step 2: Convert to fraction form
    190.50/286.08 = 113.95/x
  3. Step 3: Cross multiply
    190.50x = 286.08 × 113.95
  4. Step 4: Simplify right side
    190.50x = 32,596.82
  5. Step 5: Solve for x
    x = 32,596.82/190.50
  6. Step 6: Final answer
    x = 171.12

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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.