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Finding the Fourth Proportional to 539.18, 744.07 and 306.31

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Solution

The fourth proportional to 539.18, 744.07 and 306.31 is: 422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.18 : 744.07 = 306.31 : x
  2. Step 2: Convert to fraction form
    539.18/744.07 = 306.31/x
  3. Step 3: Cross multiply
    539.18x = 744.07 × 306.31
  4. Step 4: Simplify right side
    539.18x = 227,910.83
  5. Step 5: Solve for x
    x = 227,910.83/539.18
  6. Step 6: Final answer
    x = 422.70

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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.