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Finding the Fourth Proportional to 538.74, 743.42 and 305.86

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Solution

The fourth proportional to 538.74, 743.42 and 305.86 is: 422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.74 : 743.42 = 305.86 : x
  2. Step 2: Convert to fraction form
    538.74/743.42 = 305.86/x
  3. Step 3: Cross multiply
    538.74x = 743.42 × 305.86
  4. Step 4: Simplify right side
    538.74x = 227,382.44
  5. Step 5: Solve for x
    x = 227,382.44/538.74
  6. Step 6: Final answer
    x = 422.06

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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.