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Finding the Fourth Proportional to 190.35, 285.32 and 109.00

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Solution

The fourth proportional to 190.35, 285.32 and 109.00 is: 163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.35 : 285.32 = 109.00 : x
  2. Step 2: Convert to fraction form
    190.35/285.32 = 109.00/x
  3. Step 3: Cross multiply
    190.35x = 285.32 × 109.00
  4. Step 4: Simplify right side
    190.35x = 31,098.90
  5. Step 5: Solve for x
    x = 31,098.90/190.35
  6. Step 6: Final answer
    x = 163.38

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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.