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Finding the Fourth Proportional to 406.01, 559.43 and 274.79

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Solution

The fourth proportional to 406.01, 559.43 and 274.79 is: 378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.01 : 559.43 = 274.79 : x
  2. Step 2: Convert to fraction form
    406.01/559.43 = 274.79/x
  3. Step 3: Cross multiply
    406.01x = 559.43 × 274.79
  4. Step 4: Simplify right side
    406.01x = 153,725.77
  5. Step 5: Solve for x
    x = 153,725.77/406.01
  6. Step 6: Final answer
    x = 378.63

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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.