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Finding the Fourth Proportional to 140.03, 208.72 and 129.09

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Solution

The fourth proportional to 140.03, 208.72 and 129.09 is: 192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.03 : 208.72 = 129.09 : x
  2. Step 2: Convert to fraction form
    140.03/208.72 = 129.09/x
  3. Step 3: Cross multiply
    140.03x = 208.72 × 129.09
  4. Step 4: Simplify right side
    140.03x = 26,943.02
  5. Step 5: Solve for x
    x = 26,943.02/140.03
  6. Step 6: Final answer
    x = 192.42

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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.