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Finding the Fourth Proportional to 408.86, 613.31 and 192.59

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Solution

The fourth proportional to 408.86, 613.31 and 192.59 is: 288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.86 : 613.31 = 192.59 : x
  2. Step 2: Convert to fraction form
    408.86/613.31 = 192.59/x
  3. Step 3: Cross multiply
    408.86x = 613.31 × 192.59
  4. Step 4: Simplify right side
    408.86x = 118,113.34
  5. Step 5: Solve for x
    x = 118,113.34/408.86
  6. Step 6: Final answer
    x = 288.89

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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.