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Finding the Fourth Proportional to 140.12, 208.92 and 134.99

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Solution

The fourth proportional to 140.12, 208.92 and 134.99 is: 201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.12 : 208.92 = 134.99 : x
  2. Step 2: Convert to fraction form
    140.12/208.92 = 134.99/x
  3. Step 3: Cross multiply
    140.12x = 208.92 × 134.99
  4. Step 4: Simplify right side
    140.12x = 28,202.11
  5. Step 5: Solve for x
    x = 28,202.11/140.12
  6. Step 6: Final answer
    x = 201.27

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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.