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Finding the Fourth Proportional to 130.85, 195.99 and 85.22

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Solution

The fourth proportional to 130.85, 195.99 and 85.22 is: 127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.85 : 195.99 = 85.22 : x
  2. Step 2: Convert to fraction form
    130.85/195.99 = 85.22/x
  3. Step 3: Cross multiply
    130.85x = 195.99 × 85.22
  4. Step 4: Simplify right side
    130.85x = 16,701.29
  5. Step 5: Solve for x
    x = 16,701.29/130.85
  6. Step 6: Final answer
    x = 127.64

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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.