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Finding the Fourth Proportional to 140.69, 209.57 and 133.67

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Solution

The fourth proportional to 140.69, 209.57 and 133.67 is: 199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.69 : 209.57 = 133.67 : x
  2. Step 2: Convert to fraction form
    140.69/209.57 = 133.67/x
  3. Step 3: Cross multiply
    140.69x = 209.57 × 133.67
  4. Step 4: Simplify right side
    140.69x = 28,013.08
  5. Step 5: Solve for x
    x = 28,013.08/140.69
  6. Step 6: Final answer
    x = 199.11

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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.