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Finding the Fourth Proportional to 406.11, 559.78 and 274.89

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Solution

The fourth proportional to 406.11, 559.78 and 274.89 is: 378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.11 : 559.78 = 274.89 : x
  2. Step 2: Convert to fraction form
    406.11/559.78 = 274.89/x
  3. Step 3: Cross multiply
    406.11x = 559.78 × 274.89
  4. Step 4: Simplify right side
    406.11x = 153,877.92
  5. Step 5: Solve for x
    x = 153,877.92/406.11
  6. Step 6: Final answer
    x = 378.91

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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.