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Finding the Fourth Proportional to 919.99, 1,380.12 and 270.73

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Solution

The fourth proportional to 919.99, 1,380.12 and 270.73 is: 406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.99 : 1,380.12 = 270.73 : x
  2. Step 2: Convert to fraction form
    919.99/1,380.12 = 270.73/x
  3. Step 3: Cross multiply
    919.99x = 1,380.12 × 270.73
  4. Step 4: Simplify right side
    919.99x = 373,639.89
  5. Step 5: Solve for x
    x = 373,639.89/919.99
  6. Step 6: Final answer
    x = 406.13

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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.