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Finding the Fourth Proportional to 539.38, 744.34 and 306.50

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Solution

The fourth proportional to 539.38, 744.34 and 306.50 is: 422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.38 : 744.34 = 306.50 : x
  2. Step 2: Convert to fraction form
    539.38/744.34 = 306.50/x
  3. Step 3: Cross multiply
    539.38x = 744.34 × 306.50
  4. Step 4: Simplify right side
    539.38x = 228,140.21
  5. Step 5: Solve for x
    x = 228,140.21/539.38
  6. Step 6: Final answer
    x = 422.97

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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.