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Finding the Fourth Proportional to 539.07, 743.91 and 306.18

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Solution

The fourth proportional to 539.07, 743.91 and 306.18 is: 422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.07 : 743.91 = 306.18 : x
  2. Step 2: Convert to fraction form
    539.07/743.91 = 306.18/x
  3. Step 3: Cross multiply
    539.07x = 743.91 × 306.18
  4. Step 4: Simplify right side
    539.07x = 227,770.36
  5. Step 5: Solve for x
    x = 227,770.36/539.07
  6. Step 6: Final answer
    x = 422.52

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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.