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Finding the Fourth Proportional to 140.09, 209.40 and 121.67

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Solution

The fourth proportional to 140.09, 209.40 and 121.67 is: 181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.09 : 209.40 = 121.67 : x
  2. Step 2: Convert to fraction form
    140.09/209.40 = 121.67/x
  3. Step 3: Cross multiply
    140.09x = 209.40 × 121.67
  4. Step 4: Simplify right side
    140.09x = 25,476.65
  5. Step 5: Solve for x
    x = 25,476.65/140.09
  6. Step 6: Final answer
    x = 181.86

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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.