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Finding the Fourth Proportional to 190.10, 285.15 and 106.80

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Solution

The fourth proportional to 190.10, 285.15 and 106.80 is: 160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.10 : 285.15 = 106.80 : x
  2. Step 2: Convert to fraction form
    190.10/285.15 = 106.80/x
  3. Step 3: Cross multiply
    190.10x = 285.15 × 106.80
  4. Step 4: Simplify right side
    190.10x = 30,454.02
  5. Step 5: Solve for x
    x = 30,454.02/190.10
  6. Step 6: Final answer
    x = 160.20

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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.