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Finding the Fourth Proportional to 140.14, 193.50 and 139.83

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Solution

The fourth proportional to 140.14, 193.50 and 139.83 is: 193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.14 : 193.50 = 139.83 : x
  2. Step 2: Convert to fraction form
    140.14/193.50 = 139.83/x
  3. Step 3: Cross multiply
    140.14x = 193.50 × 139.83
  4. Step 4: Simplify right side
    140.14x = 27,057.11
  5. Step 5: Solve for x
    x = 27,057.11/140.14
  6. Step 6: Final answer
    x = 193.07

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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.