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Finding the Fourth Proportional to 539.26, 744.18 and 306.40

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Solution

The fourth proportional to 539.26, 744.18 and 306.40 is: 422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.26 : 744.18 = 306.40 : x
  2. Step 2: Convert to fraction form
    539.26/744.18 = 306.40/x
  3. Step 3: Cross multiply
    539.26x = 744.18 × 306.40
  4. Step 4: Simplify right side
    539.26x = 228,016.75
  5. Step 5: Solve for x
    x = 228,016.75/539.26
  6. Step 6: Final answer
    x = 422.83

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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.