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Finding the Fourth Proportional to 130.12, 195.91 and 119.88

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Solution

The fourth proportional to 130.12, 195.91 and 119.88 is: 180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.12 : 195.91 = 119.88 : x
  2. Step 2: Convert to fraction form
    130.12/195.91 = 119.88/x
  3. Step 3: Cross multiply
    130.12x = 195.91 × 119.88
  4. Step 4: Simplify right side
    130.12x = 23,485.69
  5. Step 5: Solve for x
    x = 23,485.69/130.12
  6. Step 6: Final answer
    x = 180.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.