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Finding the Fourth Proportional to 406.85, 561.73 and 274.27

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Solution

The fourth proportional to 406.85, 561.73 and 274.27 is: 378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.85 : 561.73 = 274.27 : x
  2. Step 2: Convert to fraction form
    406.85/561.73 = 274.27/x
  3. Step 3: Cross multiply
    406.85x = 561.73 × 274.27
  4. Step 4: Simplify right side
    406.85x = 154,063.60
  5. Step 5: Solve for x
    x = 154,063.60/406.85
  6. Step 6: Final answer
    x = 378.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.