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Finding the Fourth Proportional to 135.44, 204.10 and 132.56

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Solution

The fourth proportional to 135.44, 204.10 and 132.56 is: 199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.44 : 204.10 = 132.56 : x
  2. Step 2: Convert to fraction form
    135.44/204.10 = 132.56/x
  3. Step 3: Cross multiply
    135.44x = 204.10 × 132.56
  4. Step 4: Simplify right side
    135.44x = 27,055.50
  5. Step 5: Solve for x
    x = 27,055.50/135.44
  6. Step 6: Final answer
    x = 199.76

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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.