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Finding the Fourth Proportional to 130.85, 195.92 and 100.00

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Solution

The fourth proportional to 130.85, 195.92 and 100.00 is: 149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.85 : 195.92 = 100.00 : x
  2. Step 2: Convert to fraction form
    130.85/195.92 = 100.00/x
  3. Step 3: Cross multiply
    130.85x = 195.92 × 100.00
  4. Step 4: Simplify right side
    130.85x = 19,592.12
  5. Step 5: Solve for x
    x = 19,592.12/130.85
  6. Step 6: Final answer
    x = 149.73

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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.