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Finding the Fourth Proportional to 140.79, 192.97 and 140.56

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Solution

The fourth proportional to 140.79, 192.97 and 140.56 is: 192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.79 : 192.97 = 140.56 : x
  2. Step 2: Convert to fraction form
    140.79/192.97 = 140.56/x
  3. Step 3: Cross multiply
    140.79x = 192.97 × 140.56
  4. Step 4: Simplify right side
    140.79x = 27,123.86
  5. Step 5: Solve for x
    x = 27,123.86/140.79
  6. Step 6: Final answer
    x = 192.65

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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.