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Finding the Fourth Proportional to 140.77, 209.73 and 133.88

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Solution

The fourth proportional to 140.77, 209.73 and 133.88 is: 199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.77 : 209.73 = 133.88 : x
  2. Step 2: Convert to fraction form
    140.77/209.73 = 133.88/x
  3. Step 3: Cross multiply
    140.77x = 209.73 × 133.88
  4. Step 4: Simplify right side
    140.77x = 28,077.98
  5. Step 5: Solve for x
    x = 28,077.98/140.77
  6. Step 6: Final answer
    x = 199.47

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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.