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Finding the Fourth Proportional to 135.72, 204.78 and 134.64

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Solution

The fourth proportional to 135.72, 204.78 and 134.64 is: 203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.72 : 204.78 = 134.64 : x
  2. Step 2: Convert to fraction form
    135.72/204.78 = 134.64/x
  3. Step 3: Cross multiply
    135.72x = 204.78 × 134.64
  4. Step 4: Simplify right side
    135.72x = 27,571.58
  5. Step 5: Solve for x
    x = 27,571.58/135.72
  6. Step 6: Final answer
    x = 203.15

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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.