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Finding the Fourth Proportional to 919.21, 1,379.05 and 269.95

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Solution

The fourth proportional to 919.21, 1,379.05 and 269.95 is: 404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.21 : 1,379.05 = 269.95 : x
  2. Step 2: Convert to fraction form
    919.21/1,379.05 = 269.95/x
  3. Step 3: Cross multiply
    919.21x = 1,379.05 × 269.95
  4. Step 4: Simplify right side
    919.21x = 372,274.55
  5. Step 5: Solve for x
    x = 372,274.55/919.21
  6. Step 6: Final answer
    x = 404.99

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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.