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Finding the Fourth Proportional to 148.33, 205.69 and 140.05

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Solution

The fourth proportional to 148.33, 205.69 and 140.05 is: 194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.33 : 205.69 = 140.05 : x
  2. Step 2: Convert to fraction form
    148.33/205.69 = 140.05/x
  3. Step 3: Cross multiply
    148.33x = 205.69 × 140.05
  4. Step 4: Simplify right side
    148.33x = 28,806.88
  5. Step 5: Solve for x
    x = 28,806.88/148.33
  6. Step 6: Final answer
    x = 194.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.