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Finding the Fourth Proportional to 140.40, 209.16 and 136.64

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Solution

The fourth proportional to 140.40, 209.16 and 136.64 is: 203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.40 : 209.16 = 136.64 : x
  2. Step 2: Convert to fraction form
    140.40/209.16 = 136.64/x
  3. Step 3: Cross multiply
    140.40x = 209.16 × 136.64
  4. Step 4: Simplify right side
    140.40x = 28,579.62
  5. Step 5: Solve for x
    x = 28,579.62/140.40
  6. Step 6: Final answer
    x = 203.56

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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.