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Finding the Fourth Proportional to 426.20, 588.21 and 239.70

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Solution

The fourth proportional to 426.20, 588.21 and 239.70 is: 330.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.20 : 588.21 = 239.70 : x
  2. Step 2: Convert to fraction form
    426.20/588.21 = 239.70/x
  3. Step 3: Cross multiply
    426.20x = 588.21 × 239.70
  4. Step 4: Simplify right side
    426.20x = 140,993.94
  5. Step 5: Solve for x
    x = 140,993.94/426.20
  6. Step 6: Final answer
    x = 330.82

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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.