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Finding the Fourth Proportional to 140.16, 209.79 and 120.72

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Solution

The fourth proportional to 140.16, 209.79 and 120.72 is: 180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.16 : 209.79 = 120.72 : x
  2. Step 2: Convert to fraction form
    140.16/209.79 = 120.72/x
  3. Step 3: Cross multiply
    140.16x = 209.79 × 120.72
  4. Step 4: Simplify right side
    140.16x = 25,326.64
  5. Step 5: Solve for x
    x = 25,326.64/140.16
  6. Step 6: Final answer
    x = 180.69

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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.