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Finding the Fourth Proportional to 409.98, 615.42 and 227.82

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Solution

The fourth proportional to 409.98, 615.42 and 227.82 is: 341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.98 : 615.42 = 227.82 : x
  2. Step 2: Convert to fraction form
    409.98/615.42 = 227.82/x
  3. Step 3: Cross multiply
    409.98x = 615.42 × 227.82
  4. Step 4: Simplify right side
    409.98x = 140,204.98
  5. Step 5: Solve for x
    x = 140,204.98/409.98
  6. Step 6: Final answer
    x = 341.98

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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.