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Finding the Fourth Proportional to 136.96, 186.76 and 133.72

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Solution

The fourth proportional to 136.96, 186.76 and 133.72 is: 182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.96 : 186.76 = 133.72 : x
  2. Step 2: Convert to fraction form
    136.96/186.76 = 133.72/x
  3. Step 3: Cross multiply
    136.96x = 186.76 × 133.72
  4. Step 4: Simplify right side
    136.96x = 24,973.55
  5. Step 5: Solve for x
    x = 24,973.55/136.96
  6. Step 6: Final answer
    x = 182.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.