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Finding the Fourth Proportional to 135.92, 202.92 and 134.56

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Solution

The fourth proportional to 135.92, 202.92 and 134.56 is: 200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.92 : 202.92 = 134.56 : x
  2. Step 2: Convert to fraction form
    135.92/202.92 = 134.56/x
  3. Step 3: Cross multiply
    135.92x = 202.92 × 134.56
  4. Step 4: Simplify right side
    135.92x = 27,304.92
  5. Step 5: Solve for x
    x = 27,304.92/135.92
  6. Step 6: Final answer
    x = 200.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.