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Finding the Fourth Proportional to 140.25, 209.47 and 132.35

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Solution

The fourth proportional to 140.25, 209.47 and 132.35 is: 197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.25 : 209.47 = 132.35 : x
  2. Step 2: Convert to fraction form
    140.25/209.47 = 132.35/x
  3. Step 3: Cross multiply
    140.25x = 209.47 × 132.35
  4. Step 4: Simplify right side
    140.25x = 27,723.40
  5. Step 5: Solve for x
    x = 27,723.40/140.25
  6. Step 6: Final answer
    x = 197.67

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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.