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Finding the Fourth Proportional to 136.59, 187.41 and 133.14

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Solution

The fourth proportional to 136.59, 187.41 and 133.14 is: 182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.59 : 187.41 = 133.14 : x
  2. Step 2: Convert to fraction form
    136.59/187.41 = 133.14/x
  3. Step 3: Cross multiply
    136.59x = 187.41 × 133.14
  4. Step 4: Simplify right side
    136.59x = 24,950.16
  5. Step 5: Solve for x
    x = 24,950.16/136.59
  6. Step 6: Final answer
    x = 182.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.