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Finding the Fourth Proportional to 139.66, 192.83 and 130.95

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Solution

The fourth proportional to 139.66, 192.83 and 130.95 is: 180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.66 : 192.83 = 130.95 : x
  2. Step 2: Convert to fraction form
    139.66/192.83 = 130.95/x
  3. Step 3: Cross multiply
    139.66x = 192.83 × 130.95
  4. Step 4: Simplify right side
    139.66x = 25,250.43
  5. Step 5: Solve for x
    x = 25,250.43/139.66
  6. Step 6: Final answer
    x = 180.80

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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.