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Finding the Fourth Proportional to 140.28, 209.60 and 135.42

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Solution

The fourth proportional to 140.28, 209.60 and 135.42 is: 202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.28 : 209.60 = 135.42 : x
  2. Step 2: Convert to fraction form
    140.28/209.60 = 135.42/x
  3. Step 3: Cross multiply
    140.28x = 209.60 × 135.42
  4. Step 4: Simplify right side
    140.28x = 28,383.35
  5. Step 5: Solve for x
    x = 28,383.35/140.28
  6. Step 6: Final answer
    x = 202.33

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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.