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Finding the Fourth Proportional to 140.21, 192.46 and 129.27

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Solution

The fourth proportional to 140.21, 192.46 and 129.27 is: 177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.21 : 192.46 = 129.27 : x
  2. Step 2: Convert to fraction form
    140.21/192.46 = 129.27/x
  3. Step 3: Cross multiply
    140.21x = 192.46 × 129.27
  4. Step 4: Simplify right side
    140.21x = 24,878.98
  5. Step 5: Solve for x
    x = 24,878.98/140.21
  6. Step 6: Final answer
    x = 177.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.