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Finding the Fourth Proportional to 140.21, 193.01 and 121.71

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Solution

The fourth proportional to 140.21, 193.01 and 121.71 is: 167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.21 : 193.01 = 121.71 : x
  2. Step 2: Convert to fraction form
    140.21/193.01 = 121.71/x
  3. Step 3: Cross multiply
    140.21x = 193.01 × 121.71
  4. Step 4: Simplify right side
    140.21x = 23,491.25
  5. Step 5: Solve for x
    x = 23,491.25/140.21
  6. Step 6: Final answer
    x = 167.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.