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Finding the Fourth Proportional to 140.66, 209.86 and 120.38

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Solution

The fourth proportional to 140.66, 209.86 and 120.38 is: 179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.66 : 209.86 = 120.38 : x
  2. Step 2: Convert to fraction form
    140.66/209.86 = 120.38/x
  3. Step 3: Cross multiply
    140.66x = 209.86 × 120.38
  4. Step 4: Simplify right side
    140.66x = 25,262.95
  5. Step 5: Solve for x
    x = 25,262.95/140.66
  6. Step 6: Final answer
    x = 179.60

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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.