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Finding the Fourth Proportional to 130.28, 195.14 and 118.80

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Solution

The fourth proportional to 130.28, 195.14 and 118.80 is: 177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.28 : 195.14 = 118.80 : x
  2. Step 2: Convert to fraction form
    130.28/195.14 = 118.80/x
  3. Step 3: Cross multiply
    130.28x = 195.14 × 118.80
  4. Step 4: Simplify right side
    130.28x = 23,182.63
  5. Step 5: Solve for x
    x = 23,182.63/130.28
  6. Step 6: Final answer
    x = 177.94

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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.