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Finding the Fourth Proportional to 140.58, 209.48 and 135.42

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Solution

The fourth proportional to 140.58, 209.48 and 135.42 is: 201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.58 : 209.48 = 135.42 : x
  2. Step 2: Convert to fraction form
    140.58/209.48 = 135.42/x
  3. Step 3: Cross multiply
    140.58x = 209.48 × 135.42
  4. Step 4: Simplify right side
    140.58x = 28,367.78
  5. Step 5: Solve for x
    x = 28,367.78/140.58
  6. Step 6: Final answer
    x = 201.79

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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.