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Finding the Fourth Proportional to 140.03, 208.81 and 130.61

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Solution

The fourth proportional to 140.03, 208.81 and 130.61 is: 194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.03 : 208.81 = 130.61 : x
  2. Step 2: Convert to fraction form
    140.03/208.81 = 130.61/x
  3. Step 3: Cross multiply
    140.03x = 208.81 × 130.61
  4. Step 4: Simplify right side
    140.03x = 27,272.87
  5. Step 5: Solve for x
    x = 27,272.87/140.03
  6. Step 6: Final answer
    x = 194.76

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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.