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Finding the Fourth Proportional to 409.15, 613.42 and 272.77

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Solution

The fourth proportional to 409.15, 613.42 and 272.77 is: 408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.15 : 613.42 = 272.77 : x
  2. Step 2: Convert to fraction form
    409.15/613.42 = 272.77/x
  3. Step 3: Cross multiply
    409.15x = 613.42 × 272.77
  4. Step 4: Simplify right side
    409.15x = 167,321.89
  5. Step 5: Solve for x
    x = 167,321.89/409.15
  6. Step 6: Final answer
    x = 408.95

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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.