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Finding the Fourth Proportional to 136.64, 206.16 and 132.09

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Solution

The fourth proportional to 136.64, 206.16 and 132.09 is: 199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.64 : 206.16 = 132.09 : x
  2. Step 2: Convert to fraction form
    136.64/206.16 = 132.09/x
  3. Step 3: Cross multiply
    136.64x = 206.16 × 132.09
  4. Step 4: Simplify right side
    136.64x = 27,231.67
  5. Step 5: Solve for x
    x = 27,231.67/136.64
  6. Step 6: Final answer
    x = 199.30

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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.