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Finding the Fourth Proportional to 409.50, 614.43 and 217.08

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Solution

The fourth proportional to 409.50, 614.43 and 217.08 is: 325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.50 : 614.43 = 217.08 : x
  2. Step 2: Convert to fraction form
    409.50/614.43 = 217.08/x
  3. Step 3: Cross multiply
    409.50x = 614.43 × 217.08
  4. Step 4: Simplify right side
    409.50x = 133,380.46
  5. Step 5: Solve for x
    x = 133,380.46/409.50
  6. Step 6: Final answer
    x = 325.72

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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.