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Finding the Fourth Proportional to 409.07, 613.88 and 192.71

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Solution

The fourth proportional to 409.07, 613.88 and 192.71 is: 289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.07 : 613.88 = 192.71 : x
  2. Step 2: Convert to fraction form
    409.07/613.88 = 192.71/x
  3. Step 3: Cross multiply
    409.07x = 613.88 × 192.71
  4. Step 4: Simplify right side
    409.07x = 118,299.85
  5. Step 5: Solve for x
    x = 118,299.85/409.07
  6. Step 6: Final answer
    x = 289.19

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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.