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Finding the Fourth Proportional to 190.68, 286.11 and 165.16

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Solution

The fourth proportional to 190.68, 286.11 and 165.16 is: 247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.68 : 286.11 = 165.16 : x
  2. Step 2: Convert to fraction form
    190.68/286.11 = 165.16/x
  3. Step 3: Cross multiply
    190.68x = 286.11 × 165.16
  4. Step 4: Simplify right side
    190.68x = 47,253.93
  5. Step 5: Solve for x
    x = 47,253.93/190.68
  6. Step 6: Final answer
    x = 247.82

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