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Finding the Fourth Proportional to 139.80, 193.15 and 116.41

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Solution

The fourth proportional to 139.80, 193.15 and 116.41 is: 160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.80 : 193.15 = 116.41 : x
  2. Step 2: Convert to fraction form
    139.80/193.15 = 116.41/x
  3. Step 3: Cross multiply
    139.80x = 193.15 × 116.41
  4. Step 4: Simplify right side
    139.80x = 22,483.82
  5. Step 5: Solve for x
    x = 22,483.82/139.80
  6. Step 6: Final answer
    x = 160.83

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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.