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Finding the Fourth Proportional to 135.63, 188.42 and 134.36

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Solution

The fourth proportional to 135.63, 188.42 and 134.36 is: 186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.63 : 188.42 = 134.36 : x
  2. Step 2: Convert to fraction form
    135.63/188.42 = 134.36/x
  3. Step 3: Cross multiply
    135.63x = 188.42 × 134.36
  4. Step 4: Simplify right side
    135.63x = 25,316.92
  5. Step 5: Solve for x
    x = 25,316.92/135.63
  6. Step 6: Final answer
    x = 186.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.