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Finding the Fourth Proportional to 140.97, 210.44 and 121.84

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Solution

The fourth proportional to 140.97, 210.44 and 121.84 is: 181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.97 : 210.44 = 121.84 : x
  2. Step 2: Convert to fraction form
    140.97/210.44 = 121.84/x
  3. Step 3: Cross multiply
    140.97x = 210.44 × 121.84
  4. Step 4: Simplify right side
    140.97x = 25,639.45
  5. Step 5: Solve for x
    x = 25,639.45/140.97
  6. Step 6: Final answer
    x = 181.87

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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.