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Finding the Fourth Proportional to 140.43, 211.73 and 128.43

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Solution

The fourth proportional to 140.43, 211.73 and 128.43 is: 193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.43 : 211.73 = 128.43 : x
  2. Step 2: Convert to fraction form
    140.43/211.73 = 128.43/x
  3. Step 3: Cross multiply
    140.43x = 211.73 × 128.43
  4. Step 4: Simplify right side
    140.43x = 27,192.80
  5. Step 5: Solve for x
    x = 27,192.80/140.43
  6. Step 6: Final answer
    x = 193.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.