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Finding the Fourth Proportional to 409.94, 615.26 and 212.41

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Solution

The fourth proportional to 409.94, 615.26 and 212.41 is: 318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.94 : 615.26 = 212.41 : x
  2. Step 2: Convert to fraction form
    409.94/615.26 = 212.41/x
  3. Step 3: Cross multiply
    409.94x = 615.26 × 212.41
  4. Step 4: Simplify right side
    409.94x = 130,687.38
  5. Step 5: Solve for x
    x = 130,687.38/409.94
  6. Step 6: Final answer
    x = 318.80

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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.