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Finding the Fourth Proportional to 251.19, 376.83 and 106.92

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Solution

The fourth proportional to 251.19, 376.83 and 106.92 is: 160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.19 : 376.83 = 106.92 : x
  2. Step 2: Convert to fraction form
    251.19/376.83 = 106.92/x
  3. Step 3: Cross multiply
    251.19x = 376.83 × 106.92
  4. Step 4: Simplify right side
    251.19x = 40,290.66
  5. Step 5: Solve for x
    x = 40,290.66/251.19
  6. Step 6: Final answer
    x = 160.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.