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Finding the Fourth Proportional to 409.50, 613.27 and 311.89

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Solution

The fourth proportional to 409.50, 613.27 and 311.89 is: 467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.50 : 613.27 = 311.89 : x
  2. Step 2: Convert to fraction form
    409.50/613.27 = 311.89/x
  3. Step 3: Cross multiply
    409.50x = 613.27 × 311.89
  4. Step 4: Simplify right side
    409.50x = 191,272.78
  5. Step 5: Solve for x
    x = 191,272.78/409.50
  6. Step 6: Final answer
    x = 467.09

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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.