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Finding the Fourth Proportional to 827.94, 1,242.09 and 280.10

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Solution

The fourth proportional to 827.94, 1,242.09 and 280.10 is: 420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.94 : 1,242.09 = 280.10 : x
  2. Step 2: Convert to fraction form
    827.94/1,242.09 = 280.10/x
  3. Step 3: Cross multiply
    827.94x = 1,242.09 × 280.10
  4. Step 4: Simplify right side
    827.94x = 347,909.41
  5. Step 5: Solve for x
    x = 347,909.41/827.94
  6. Step 6: Final answer
    x = 420.21

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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.