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Finding the Fourth Proportional to 135.20, 195.50 and 135.20

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Solution

The fourth proportional to 135.20, 195.50 and 135.20 is: 195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.20 : 195.50 = 135.20 : x
  2. Step 2: Convert to fraction form
    135.20/195.50 = 135.20/x
  3. Step 3: Cross multiply
    135.20x = 195.50 × 135.20
  4. Step 4: Simplify right side
    135.20x = 26,431.60
  5. Step 5: Solve for x
    x = 26,431.60/135.20
  6. Step 6: Final answer
    x = 195.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.