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Finding the Fourth Proportional to 426.26, 588.21 and 239.71

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Solution

The fourth proportional to 426.26, 588.21 and 239.71 is: 330.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.26 : 588.21 = 239.71 : x
  2. Step 2: Convert to fraction form
    426.26/588.21 = 239.71/x
  3. Step 3: Cross multiply
    426.26x = 588.21 × 239.71
  4. Step 4: Simplify right side
    426.26x = 140,999.82
  5. Step 5: Solve for x
    x = 140,999.82/426.26
  6. Step 6: Final answer
    x = 330.78

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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.