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Finding the Fourth Proportional to 190.26, 284.49 and 165.66

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Solution

The fourth proportional to 190.26, 284.49 and 165.66 is: 247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.26 : 284.49 = 165.66 : x
  2. Step 2: Convert to fraction form
    190.26/284.49 = 165.66/x
  3. Step 3: Cross multiply
    190.26x = 284.49 × 165.66
  4. Step 4: Simplify right side
    190.26x = 47,128.61
  5. Step 5: Solve for x
    x = 47,128.61/190.26
  6. Step 6: Final answer
    x = 247.71

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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.