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Finding the Fourth Proportional to 919.06, 1,378.78 and 269.74

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Solution

The fourth proportional to 919.06, 1,378.78 and 269.74 is: 404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.06 : 1,378.78 = 269.74 : x
  2. Step 2: Convert to fraction form
    919.06/1,378.78 = 269.74/x
  3. Step 3: Cross multiply
    919.06x = 1,378.78 × 269.74
  4. Step 4: Simplify right side
    919.06x = 371,912.12
  5. Step 5: Solve for x
    x = 371,912.12/919.06
  6. Step 6: Final answer
    x = 404.67

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Why These Related Problems?

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