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Finding the Fourth Proportional to 139.18, 209.02 and 133.67

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Solution

The fourth proportional to 139.18, 209.02 and 133.67 is: 200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.18 : 209.02 = 133.67 : x
  2. Step 2: Convert to fraction form
    139.18/209.02 = 133.67/x
  3. Step 3: Cross multiply
    139.18x = 209.02 × 133.67
  4. Step 4: Simplify right side
    139.18x = 27,939.89
  5. Step 5: Solve for x
    x = 27,939.89/139.18
  6. Step 6: Final answer
    x = 200.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.