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Finding the Fourth Proportional to 919.43, 1,378.99 and 270.01

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Solution

The fourth proportional to 919.43, 1,378.99 and 270.01 is: 404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.43 : 1,378.99 = 270.01 : x
  2. Step 2: Convert to fraction form
    919.43/1,378.99 = 270.01/x
  3. Step 3: Cross multiply
    919.43x = 1,378.99 × 270.01
  4. Step 4: Simplify right side
    919.43x = 372,341.09
  5. Step 5: Solve for x
    x = 372,341.09/919.43
  6. Step 6: Final answer
    x = 404.97

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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.