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Finding the Fourth Proportional to 190.67, 285.99 and 75.14

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Solution

The fourth proportional to 190.67, 285.99 and 75.14 is: 112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.67 : 285.99 = 75.14 : x
  2. Step 2: Convert to fraction form
    190.67/285.99 = 75.14/x
  3. Step 3: Cross multiply
    190.67x = 285.99 × 75.14
  4. Step 4: Simplify right side
    190.67x = 21,489.29
  5. Step 5: Solve for x
    x = 21,489.29/190.67
  6. Step 6: Final answer
    x = 112.70

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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.