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Finding the Fourth Proportional to 280.94, 423.94 and 270.77

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Solution

The fourth proportional to 280.94, 423.94 and 270.77 is: 408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.94 : 423.94 = 270.77 : x
  2. Step 2: Convert to fraction form
    280.94/423.94 = 270.77/x
  3. Step 3: Cross multiply
    280.94x = 423.94 × 270.77
  4. Step 4: Simplify right side
    280.94x = 114,787.44
  5. Step 5: Solve for x
    x = 114,787.44/280.94
  6. Step 6: Final answer
    x = 408.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.