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Finding the Fourth Proportional to 140.53, 193.86 and 96.79

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Solution

The fourth proportional to 140.53, 193.86 and 96.79 is: 133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.53 : 193.86 = 96.79 : x
  2. Step 2: Convert to fraction form
    140.53/193.86 = 96.79/x
  3. Step 3: Cross multiply
    140.53x = 193.86 × 96.79
  4. Step 4: Simplify right side
    140.53x = 18,763.71
  5. Step 5: Solve for x
    x = 18,763.71/140.53
  6. Step 6: Final answer
    x = 133.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.